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Simplifying 0 = 50x2 + 120x + 70 Reorder the terms: 0 = 70 + 120x + 50x2 Solving 0 = 70 + 120x + 50x2 Solving for variable 'x'. Combine like terms: 0 + -70 = -70 -70 + -120x + -50x2 = 70 + 120x + 50x2 + -70 + -120x + -50x2 Reorder the terms: -70 + -120x + -50x2 = 70 + -70 + 120x + -120x + 50x2 + -50x2 Combine like terms: 70 + -70 = 0 -70 + -120x + -50x2 = 0 + 120x + -120x + 50x2 + -50x2 -70 + -120x + -50x2 = 120x + -120x + 50x2 + -50x2 Combine like terms: 120x + -120x = 0 -70 + -120x + -50x2 = 0 + 50x2 + -50x2 -70 + -120x + -50x2 = 50x2 + -50x2 Combine like terms: 50x2 + -50x2 = 0 -70 + -120x + -50x2 = 0 Factor out the Greatest Common Factor (GCF), '-10'. -10(7 + 12x + 5x2) = 0 Factor a trinomial. -10((7 + 5x)(1 + x)) = 0 Ignore the factor -10.Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Subproblem 2
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 = -1Solution
x = {-1.4, -1}
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