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Simplifying 0 = 4x2 + -1x + -663 Reorder the terms: 0 = -663 + -1x + 4x2 Solving 0 = -663 + -1x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 663 = 663 663 + x + -4x2 = -663 + -1x + 4x2 + 663 + x + -4x2 Reorder the terms: 663 + x + -4x2 = -663 + 663 + -1x + x + 4x2 + -4x2 Combine like terms: -663 + 663 = 0 663 + x + -4x2 = 0 + -1x + x + 4x2 + -4x2 663 + x + -4x2 = -1x + x + 4x2 + -4x2 Combine like terms: -1x + x = 0 663 + x + -4x2 = 0 + 4x2 + -4x2 663 + x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 663 + x + -4x2 = 0 Factor a trinomial. (13 + -1x)(51 + 4x) = 0Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 2
Set the factor '(51 + 4x)' equal to zero and attempt to solve: Simplifying 51 + 4x = 0 Solving 51 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 4x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 4x = 0 + -51 4x = 0 + -51 Combine like terms: 0 + -51 = -51 4x = -51 Divide each side by '4'. x = -12.75 Simplifying x = -12.75Solution
x = {13, -12.75}
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