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Simplifying 37x2 + 272x + -56 = -3x2 Reorder the terms: -56 + 272x + 37x2 = -3x2 Solving -56 + 272x + 37x2 = -3x2 Solving for variable 'x'. Combine like terms: 37x2 + 3x2 = 40x2 -56 + 272x + 40x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -56 + 272x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-7 + 34x + 5x2) = 0 Factor a trinomial. 8((-7 + -1x)(1 + -5x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-7, 0.2}
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