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Simplifying (-10x + 7)(9 + -7x) = 0 Reorder the terms: (7 + -10x)(9 + -7x) = 0 Multiply (7 + -10x) * (9 + -7x) (7(9 + -7x) + -10x * (9 + -7x)) = 0 ((9 * 7 + -7x * 7) + -10x * (9 + -7x)) = 0 ((63 + -49x) + -10x * (9 + -7x)) = 0 (63 + -49x + (9 * -10x + -7x * -10x)) = 0 (63 + -49x + (-90x + 70x2)) = 0 Combine like terms: -49x + -90x = -139x (63 + -139x + 70x2) = 0 Solving 63 + -139x + 70x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -10x)(9 + -7x) = 0Subproblem 1
Set the factor '(7 + -10x)' equal to zero and attempt to solve: Simplifying 7 + -10x = 0 Solving 7 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = 0 + -7 -10x = 0 + -7 Combine like terms: 0 + -7 = -7 -10x = -7 Divide each side by '-10'. x = 0.7 Simplifying x = 0.7Subproblem 2
Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {0.7, 1.285714286}
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