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Simplifying 8x2 + 7x + 4 = 160 Reorder the terms: 4 + 7x + 8x2 = 160 Solving 4 + 7x + 8x2 = 160 Solving for variable 'x'. Reorder the terms: 4 + -160 + 7x + 8x2 = 160 + -160 Combine like terms: 4 + -160 = -156 -156 + 7x + 8x2 = 160 + -160 Combine like terms: 160 + -160 = 0 -156 + 7x + 8x2 = 0 Factor a trinomial. (-39 + -8x)(4 + -1x) = 0Subproblem 1
Set the factor '(-39 + -8x)' equal to zero and attempt to solve: Simplifying -39 + -8x = 0 Solving -39 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -8x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -8x = 0 + 39 -8x = 0 + 39 Combine like terms: 0 + 39 = 39 -8x = 39 Divide each side by '-8'. x = -4.875 Simplifying x = -4.875Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-4.875, 4}
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