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Simplifying 4x2 + x = 588 Reorder the terms: x + 4x2 = 588 Solving x + 4x2 = 588 Solving for variable 'x'. Reorder the terms: -588 + x + 4x2 = 588 + -588 Combine like terms: 588 + -588 = 0 -588 + x + 4x2 = 0 Factor a trinomial. (-49 + -4x)(12 + -1x) = 0Subproblem 1
Set the factor '(-49 + -4x)' equal to zero and attempt to solve: Simplifying -49 + -4x = 0 Solving -49 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -4x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -4x = 0 + 49 -4x = 0 + 49 Combine like terms: 0 + 49 = 49 -4x = 49 Divide each side by '-4'. x = -12.25 Simplifying x = -12.25Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-12.25, 12}
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