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Simplifying (-7x + 2)(5x + -4) = 0 Reorder the terms: (2 + -7x)(5x + -4) = 0 Reorder the terms: (2 + -7x)(-4 + 5x) = 0 Multiply (2 + -7x) * (-4 + 5x) (2(-4 + 5x) + -7x * (-4 + 5x)) = 0 ((-4 * 2 + 5x * 2) + -7x * (-4 + 5x)) = 0 ((-8 + 10x) + -7x * (-4 + 5x)) = 0 (-8 + 10x + (-4 * -7x + 5x * -7x)) = 0 (-8 + 10x + (28x + -35x2)) = 0 Combine like terms: 10x + 28x = 38x (-8 + 38x + -35x2) = 0 Solving -8 + 38x + -35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + 5x)(2 + -7x) = 0Subproblem 1
Set the factor '(-4 + 5x)' equal to zero and attempt to solve: Simplifying -4 + 5x = 0 Solving -4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 0 + 4 5x = 0 + 4 Combine like terms: 0 + 4 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {0.8, 0.2857142857}
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