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Simplifying (4x + -1)(x) = 663 Reorder the terms: (-1 + 4x)(x) = 663 Reorder the terms for easier multiplication: x(-1 + 4x) = 663 (-1 * x + 4x * x) = 663 (-1x + 4x2) = 663 Solving -1x + 4x2 = 663 Solving for variable 'x'. Reorder the terms: -663 + -1x + 4x2 = 663 + -663 Combine like terms: 663 + -663 = 0 -663 + -1x + 4x2 = 0 Factor a trinomial. (-51 + -4x)(13 + -1x) = 0Subproblem 1
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 = -12.75Subproblem 2
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 = 13Solution
x = {-12.75, 13}
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