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Simplifying x(12x + 1) = 88 Reorder the terms: x(1 + 12x) = 88 (1 * x + 12x * x) = 88 (1x + 12x2) = 88 Solving 1x + 12x2 = 88 Solving for variable 'x'. Reorder the terms: -88 + 1x + 12x2 = 88 + -88 Combine like terms: 88 + -88 = 0 -88 + 1x + 12x2 = 0 Factor a trinomial. (-11 + -4x)(8 + -3x) = 0Subproblem 1
Set the factor '(-11 + -4x)' equal to zero and attempt to solve: Simplifying -11 + -4x = 0 Solving -11 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 0 + 11 -4x = 0 + 11 Combine like terms: 0 + 11 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-2.75, 2.666666667}
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