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a) (5-x)2+(3+x)(3-x)+10x
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20 tháng 3 2022
a) \(\left(x+\frac{7}{4}\right)\times\frac{3}{2}=6\)
\(\Leftrightarrow\left(x+\frac{7}{4}\right)=6\div\frac{3}{2}\)
\(\Leftrightarrow x+\frac{7}{4}=4\)
\(\Leftrightarrow x=4-\frac{7}{4}\)
\(\Leftrightarrow x=\frac{9}{4}\)
b) \(x\div\frac{3}{5}+\frac{2}{5}=\frac{9}{5}\)
\(\Leftrightarrow x\div\frac{3}{5}=\frac{9}{5}-\frac{2}{5}\)
\(\Leftrightarrow x\div\frac{3}{5}=\frac{7}{5}\)
\(\Leftrightarrow x=\frac{7}{5}\times\frac{3}{5}\)
\(\Leftrightarrow x=\frac{21}{25}\)
c) \(\frac{1}{2}\div3+x=\frac{5}{3}\)
\(\Leftrightarrow\frac{1}{6}+x=\frac{5}{3}\)
\(\Leftrightarrow x=\frac{5}{3}-\frac{1}{6}\)
\(\Leftrightarrow x=\frac{3}{2}\)
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Simplifying 5(2x + 1) = 3(x + -2) Reorder the terms: 5(1 + 2x) = 3(x + -2) (1 * 5 + 2x * 5) = 3(x + -2) (5 + 10x) = 3(x + -2) Reorder the terms: 5 + 10x = 3(-2 + x) 5 + 10x = (-2 * 3 + x * 3) 5 + 10x = (-6 + 3x) Solving 5 + 10x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 10x + -3x = -6 + 3x + -3x Combine terms: 10x + -3x = 7x 5 + 7x = -6 + 3x + -3x Combine terms: 3x + -3x = 0 5 + 7x = -6 + 0 5 + 7x = -6 Add '-5' to each side of the equation. 5 + -5 + 7x = -6 + -5 Combine terms: 5 + -5 = 0 0 + 7x = -6 + -5 7x = -6 + -5 Combine terms: -6 + -5 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571
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