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Simplifying (5x + -7)(x + -2) = 0 Reorder the terms: (-7 + 5x)(x + -2) = 0 Reorder the terms: (-7 + 5x)(-2 + x) = 0 Multiply (-7 + 5x) * (-2 + x) (-7(-2 + x) + 5x * (-2 + x)) = 0 ((-2 * -7 + x * -7) + 5x * (-2 + x)) = 0 ((14 + -7x) + 5x * (-2 + x)) = 0 (14 + -7x + (-2 * 5x + x * 5x)) = 0 (14 + -7x + (-10x + 5x2)) = 0 Combine like terms: -7x + -10x = -17x (14 + -17x + 5x2) = 0 Solving 14 + -17x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {1.4, 2}
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