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Simplifying 15x2 + 100x = -60 Reorder the terms: 100x + 15x2 = -60 Solving 100x + 15x2 = -60 Solving for variable 'x'. Reorder the terms: 60 + 100x + 15x2 = -60 + 60 Combine like terms: -60 + 60 = 0 60 + 100x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(12 + 20x + 3x2) = 0 Factor a trinomial. 5((6 + x)(2 + 3x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-6, -0.6666666667}
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