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Simplifying (-2x + 4)(-7x + -5) = 0 Reorder the terms: (4 + -2x)(-7x + -5) = 0 Reorder the terms: (4 + -2x)(-5 + -7x) = 0 Multiply (4 + -2x) * (-5 + -7x) (4(-5 + -7x) + -2x * (-5 + -7x)) = 0 ((-5 * 4 + -7x * 4) + -2x * (-5 + -7x)) = 0 ((-20 + -28x) + -2x * (-5 + -7x)) = 0 (-20 + -28x + (-5 * -2x + -7x * -2x)) = 0 (-20 + -28x + (10x + 14x2)) = 0 Combine like terms: -28x + 10x = -18x (-20 + -18x + 14x2) = 0 Solving -20 + -18x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -9x + 7x2) = 0 Factor a trinomial. 2((-5 + -7x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve: Simplifying -5 + -7x = 0 Solving -5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 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 = {-0.7142857143, 2}
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