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Simplifying 5(2x + -5)(7x + 2) = 0 Reorder the terms: 5(-5 + 2x)(7x + 2) = 0 Reorder the terms: 5(-5 + 2x)(2 + 7x) = 0 Multiply (-5 + 2x) * (2 + 7x) 5(-5(2 + 7x) + 2x * (2 + 7x)) = 0 5((2 * -5 + 7x * -5) + 2x * (2 + 7x)) = 0 5((-10 + -35x) + 2x * (2 + 7x)) = 0 5(-10 + -35x + (2 * 2x + 7x * 2x)) = 0 5(-10 + -35x + (4x + 14x2)) = 0 Combine like terms: -35x + 4x = -31x 5(-10 + -31x + 14x2) = 0 (-10 * 5 + -31x * 5 + 14x2 * 5) = 0 (-50 + -155x + 70x2) = 0 Solving -50 + -155x + 70x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-10 + -31x + 14x2) = 0 Factor a trinomial. 5((-2 + -7x)(5 + -2x)) = 0 Ignore the factor 5.Subproblem 1
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 = -0.2857142857Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-0.2857142857, 2.5}
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