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Simplifying 6x2 + 90x = -300 Reorder the terms: 90x + 6x2 = -300 Solving 90x + 6x2 = -300 Solving for variable 'x'. Reorder the terms: 300 + 90x + 6x2 = -300 + 300 Combine like terms: -300 + 300 = 0 300 + 90x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(50 + 15x + x2) = 0 Factor a trinomial. 6((10 + x)(5 + x)) = 0 Ignore the factor 6.Subproblem 1
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 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-10, -5}
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