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Simplifying (6x2 + 5x + -15) + (10x + 15) = 0 Reorder the terms: (-15 + 5x + 6x2) + (10x + 15) = 0 Remove parenthesis around (-15 + 5x + 6x2) -15 + 5x + 6x2 + (10x + 15) = 0 Reorder the terms: -15 + 5x + 6x2 + (15 + 10x) = 0 Remove parenthesis around (15 + 10x) -15 + 5x + 6x2 + 15 + 10x = 0 Reorder the terms: -15 + 15 + 5x + 10x + 6x2 = 0 Combine like terms: -15 + 15 = 0 0 + 5x + 10x + 6x2 = 0 5x + 10x + 6x2 = 0 Combine like terms: 5x + 10x = 15x 15x + 6x2 = 0 Solving 15x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(5 + 2x) = 0 Ignore the factor 3.Subproblem 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0, -2.5}
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