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Simplifying x(x + 10)(x + -3) = 0 Reorder the terms: x(10 + x)(x + -3) = 0 Reorder the terms: x(10 + x)(-3 + x) = 0 Multiply (10 + x) * (-3 + x) x(10(-3 + x) + x(-3 + x)) = 0 x((-3 * 10 + x * 10) + x(-3 + x)) = 0 x((-30 + 10x) + x(-3 + x)) = 0 x(-30 + 10x + (-3 * x + x * x)) = 0 x(-30 + 10x + (-3x + x2)) = 0 Combine like terms: 10x + -3x = 7x x(-30 + 7x + x2) = 0 (-30 * x + 7x * x + x2 * x) = 0 (-30x + 7x2 + x3) = 0 Solving -30x + 7x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-30 + 7x + x2) = 0 Factor a trinomial. x((-10 + -1x)(3 + -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 '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 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 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, -10, 3}
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