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Simplifying x(7x + 1)(x + -5) = 0 Reorder the terms: x(1 + 7x)(x + -5) = 0 Reorder the terms: x(1 + 7x)(-5 + x) = 0 Multiply (1 + 7x) * (-5 + x) x(1(-5 + x) + 7x * (-5 + x)) = 0 x((-5 * 1 + x * 1) + 7x * (-5 + x)) = 0 x((-5 + 1x) + 7x * (-5 + x)) = 0 x(-5 + 1x + (-5 * 7x + x * 7x)) = 0 x(-5 + 1x + (-35x + 7x2)) = 0 Combine like terms: 1x + -35x = -34x x(-5 + -34x + 7x2) = 0 (-5 * x + -34x * x + 7x2 * x) = 0 (-5x + -34x2 + 7x3) = 0 Solving -5x + -34x2 + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + -34x + 7x2) = 0 Factor a trinomial. x((-1 + -7x)(5 + -1x)) = 0Subproblem 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 '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, -0.1428571429, 5}
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