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Simplifying x(6x + 30) = 900 Reorder the terms: x(30 + 6x) = 900 (30 * x + 6x * x) = 900 (30x + 6x2) = 900 Solving 30x + 6x2 = 900 Solving for variable 'x'. Reorder the terms: -900 + 30x + 6x2 = 900 + -900 Combine like terms: 900 + -900 = 0 -900 + 30x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-150 + 5x + x2) = 0 Factor a trinomial. 6((-15 + -1x)(10 + -1x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15Subproblem 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 = {-15, 10}
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