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Simplifying (3x + -30)(x + -10) = 0 Reorder the terms: (-30 + 3x)(x + -10) = 0 Reorder the terms: (-30 + 3x)(-10 + x) = 0 Multiply (-30 + 3x) * (-10 + x) (-30(-10 + x) + 3x * (-10 + x)) = 0 ((-10 * -30 + x * -30) + 3x * (-10 + x)) = 0 ((300 + -30x) + 3x * (-10 + x)) = 0 (300 + -30x + (-10 * 3x + x * 3x)) = 0 (300 + -30x + (-30x + 3x2)) = 0 Combine like terms: -30x + -30x = -60x (300 + -60x + 3x2) = 0 Solving 300 + -60x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(100 + -20x + x2) = 0 Factor a trinomial. 3((10 + -1x)(10 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 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 = 10Solution
x = {10, 10}
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