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Simplifying 0 = -16x2 + 4x + 380 Reorder the terms: 0 = 380 + 4x + -16x2 Solving 0 = 380 + 4x + -16x2 Solving for variable 'x'. Combine like terms: 0 + -380 = -380 -380 + -4x + 16x2 = 380 + 4x + -16x2 + -380 + -4x + 16x2 Reorder the terms: -380 + -4x + 16x2 = 380 + -380 + 4x + -4x + -16x2 + 16x2 Combine like terms: 380 + -380 = 0 -380 + -4x + 16x2 = 0 + 4x + -4x + -16x2 + 16x2 -380 + -4x + 16x2 = 4x + -4x + -16x2 + 16x2 Combine like terms: 4x + -4x = 0 -380 + -4x + 16x2 = 0 + -16x2 + 16x2 -380 + -4x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -380 + -4x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-95 + -1x + 4x2) = 0 Factor a trinomial. 4((-19 + -4x)(5 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-19 + -4x)' equal to zero and attempt to solve: Simplifying -19 + -4x = 0 Solving -19 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 0 + 19 -4x = 0 + 19 Combine like terms: 0 + 19 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-4.75, 5}
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