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Simplifying (7x + -5)(-4 + -2x) = 0 Reorder the terms: (-5 + 7x)(-4 + -2x) = 0 Multiply (-5 + 7x) * (-4 + -2x) (-5(-4 + -2x) + 7x * (-4 + -2x)) = 0 ((-4 * -5 + -2x * -5) + 7x * (-4 + -2x)) = 0 ((20 + 10x) + 7x * (-4 + -2x)) = 0 (20 + 10x + (-4 * 7x + -2x * 7x)) = 0 (20 + 10x + (-28x + -14x2)) = 0 Combine like terms: 10x + -28x = -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 + x)) = 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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0.7142857143, -2}
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