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Simplifying x(x + 10)(x + -10) = 0 Reorder the terms: x(10 + x)(x + -10) = 0 Reorder the terms: x(10 + x)(-10 + x) = 0 Multiply (10 + x) * (-10 + x) x(10(-10 + x) + x(-10 + x)) = 0 x((-10 * 10 + x * 10) + x(-10 + x)) = 0 x((-100 + 10x) + x(-10 + x)) = 0 x(-100 + 10x + (-10 * x + x * x)) = 0 x(-100 + 10x + (-10x + x2)) = 0 Combine like terms: 10x + -10x = 0 x(-100 + 0 + x2) = 0 x(-100 + x2) = 0 (-100 * x + x2 * x) = 0 (-100x + x3) = 0 Solving -100x + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-100 + x2) = 0 Factor a difference between two squares. x((10 + x)(-10 + x)) = 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 3
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Solution
x = {0, -10, 10}
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