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Simplifying 2x2 + -54x = -5x2 + -6x + -36 Reorder the terms: -54x + 2x2 = -5x2 + -6x + -36 Reorder the terms: -54x + 2x2 = -36 + -6x + -5x2 Solving -54x + 2x2 = -36 + -6x + -5x2 Solving for variable 'x'. Reorder the terms: 36 + -54x + 6x + 2x2 + 5x2 = -36 + -6x + -5x2 + 36 + 6x + 5x2 Combine like terms: -54x + 6x = -48x 36 + -48x + 2x2 + 5x2 = -36 + -6x + -5x2 + 36 + 6x + 5x2 Combine like terms: 2x2 + 5x2 = 7x2 36 + -48x + 7x2 = -36 + -6x + -5x2 + 36 + 6x + 5x2 Reorder the terms: 36 + -48x + 7x2 = -36 + 36 + -6x + 6x + -5x2 + 5x2 Combine like terms: -36 + 36 = 0 36 + -48x + 7x2 = 0 + -6x + 6x + -5x2 + 5x2 36 + -48x + 7x2 = -6x + 6x + -5x2 + 5x2 Combine like terms: -6x + 6x = 0 36 + -48x + 7x2 = 0 + -5x2 + 5x2 36 + -48x + 7x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 36 + -48x + 7x2 = 0 Factor a trinomial. (6 + -7x)(6 + -1x) = 0Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 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 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Subproblem 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 = {0.8571428571, 6}
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