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Simplifying 2x2 + -67x = -7x2 + -5x + -48 Reorder the terms: -67x + 2x2 = -7x2 + -5x + -48 Reorder the terms: -67x + 2x2 = -48 + -5x + -7x2 Solving -67x + 2x2 = -48 + -5x + -7x2 Solving for variable 'x'. Reorder the terms: 48 + -67x + 5x + 2x2 + 7x2 = -48 + -5x + -7x2 + 48 + 5x + 7x2 Combine like terms: -67x + 5x = -62x 48 + -62x + 2x2 + 7x2 = -48 + -5x + -7x2 + 48 + 5x + 7x2 Combine like terms: 2x2 + 7x2 = 9x2 48 + -62x + 9x2 = -48 + -5x + -7x2 + 48 + 5x + 7x2 Reorder the terms: 48 + -62x + 9x2 = -48 + 48 + -5x + 5x + -7x2 + 7x2 Combine like terms: -48 + 48 = 0 48 + -62x + 9x2 = 0 + -5x + 5x + -7x2 + 7x2 48 + -62x + 9x2 = -5x + 5x + -7x2 + 7x2 Combine like terms: -5x + 5x = 0 48 + -62x + 9x2 = 0 + -7x2 + 7x2 48 + -62x + 9x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 48 + -62x + 9x2 = 0 Factor a trinomial. (8 + -9x)(6 + -1x) = 0Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 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 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0.8888888889, 6}
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