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Simplifying 5x2 + 15x + 5 = -5x2 Reorder the terms: 5 + 15x + 5x2 = -5x2 Solving 5 + 15x + 5x2 = -5x2 Solving for variable 'x'. Combine like terms: 5x2 + 5x2 = 10x2 5 + 15x + 10x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 5 + 15x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + 3x + 2x2) = 0 Factor a trinomial. 5((1 + x)(1 + 2x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-1, -0.5}
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