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Simplifying 0 = 12x2 + x + -63 Reorder the terms: 0 = -63 + x + 12x2 Solving 0 = -63 + x + 12x2 Solving for variable 'x'. Combine like terms: 0 + 63 = 63 63 + -1x + -12x2 = -63 + x + 12x2 + 63 + -1x + -12x2 Reorder the terms: 63 + -1x + -12x2 = -63 + 63 + x + -1x + 12x2 + -12x2 Combine like terms: -63 + 63 = 0 63 + -1x + -12x2 = 0 + x + -1x + 12x2 + -12x2 63 + -1x + -12x2 = x + -1x + 12x2 + -12x2 Combine like terms: x + -1x = 0 63 + -1x + -12x2 = 0 + 12x2 + -12x2 63 + -1x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 63 + -1x + -12x2 = 0 Factor a trinomial. (9 + -4x)(7 + 3x) = 0Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Solution
x = {2.25, -2.333333333}
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