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Simplifying 11x2 + 55x + 19x + 95 = x2 + 6x + 5 Reorder the terms: 95 + 55x + 19x + 11x2 = x2 + 6x + 5 Combine like terms: 55x + 19x = 74x 95 + 74x + 11x2 = x2 + 6x + 5 Reorder the terms: 95 + 74x + 11x2 = 5 + 6x + x2 Solving 95 + 74x + 11x2 = 5 + 6x + x2 Solving for variable 'x'. Reorder the terms: 95 + -5 + 74x + -6x + 11x2 + -1x2 = 5 + 6x + x2 + -5 + -6x + -1x2 Combine like terms: 95 + -5 = 90 90 + 74x + -6x + 11x2 + -1x2 = 5 + 6x + x2 + -5 + -6x + -1x2 Combine like terms: 74x + -6x = 68x 90 + 68x + 11x2 + -1x2 = 5 + 6x + x2 + -5 + -6x + -1x2 Combine like terms: 11x2 + -1x2 = 10x2 90 + 68x + 10x2 = 5 + 6x + x2 + -5 + -6x + -1x2 Reorder the terms: 90 + 68x + 10x2 = 5 + -5 + 6x + -6x + x2 + -1x2 Combine like terms: 5 + -5 = 0 90 + 68x + 10x2 = 0 + 6x + -6x + x2 + -1x2 90 + 68x + 10x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 90 + 68x + 10x2 = 0 + x2 + -1x2 90 + 68x + 10x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 90 + 68x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(45 + 34x + 5x2) = 0 Factor a trinomial. 2((5 + x)(9 + 5x)) = 0 Ignore the factor 2.Subproblem 1
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 = -5Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {-5, -1.8}
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