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Simplifying x(x + -5)(7x + -3) = 0 Reorder the terms: x(-5 + x)(7x + -3) = 0 Reorder the terms: x(-5 + x)(-3 + 7x) = 0 Multiply (-5 + x) * (-3 + 7x) x(-5(-3 + 7x) + x(-3 + 7x)) = 0 x((-3 * -5 + 7x * -5) + x(-3 + 7x)) = 0 x((15 + -35x) + x(-3 + 7x)) = 0 x(15 + -35x + (-3 * x + 7x * x)) = 0 x(15 + -35x + (-3x + 7x2)) = 0 Combine like terms: -35x + -3x = -38x x(15 + -38x + 7x2) = 0 (15 * x + -38x * x + 7x2 * x) = 0 (15x + -38x2 + 7x3) = 0 Solving 15x + -38x2 + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(15 + -38x + 7x2) = 0 Factor a trinomial. x((3 + -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 '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 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, 0.4285714286, 5}
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