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Simplifying -7x * 2(4x + -5) = 0 Reorder the terms: -7x * 2(-5 + 4x) = 0 Reorder the terms for easier multiplication: -7 * 2x(-5 + 4x) = 0 Multiply -7 * 2 -14x(-5 + 4x) = 0 (-5 * -14x + 4x * -14x) = 0 (70x + -56x2) = 0 Solving 70x + -56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14x'. 14x(5 + -4x) = 0 Ignore the factor 14.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {0, 1.25}
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