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Simplifying 51x2 + 288x + 40 = -5x2 Reorder the terms: 40 + 288x + 51x2 = -5x2 Solving 40 + 288x + 51x2 = -5x2 Solving for variable 'x'. Combine like terms: 51x2 + 5x2 = 56x2 40 + 288x + 56x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 40 + 288x + 56x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(5 + 36x + 7x2) = 0 Factor a trinomial. 8((5 + x)(1 + 7x)) = 0 Ignore the factor 8.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 '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {-5, -0.1428571429}
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