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Simplifying 0 = 4x2 + 79x + 376 Reorder the terms: 0 = 376 + 79x + 4x2 Solving 0 = 376 + 79x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -376 = -376 -376 + -79x + -4x2 = 376 + 79x + 4x2 + -376 + -79x + -4x2 Reorder the terms: -376 + -79x + -4x2 = 376 + -376 + 79x + -79x + 4x2 + -4x2 Combine like terms: 376 + -376 = 0 -376 + -79x + -4x2 = 0 + 79x + -79x + 4x2 + -4x2 -376 + -79x + -4x2 = 79x + -79x + 4x2 + -4x2 Combine like terms: 79x + -79x = 0 -376 + -79x + -4x2 = 0 + 4x2 + -4x2 -376 + -79x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -376 + -79x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(376 + 79x + 4x2) = 0 Factor a trinomial. -1((47 + 4x)(8 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(47 + 4x)' equal to zero and attempt to solve: Simplifying 47 + 4x = 0 Solving 47 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 4x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 4x = 0 + -47 4x = 0 + -47 Combine like terms: 0 + -47 = -47 4x = -47 Divide each side by '4'. x = -11.75 Simplifying x = -11.75Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-11.75, -8}
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