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Simplifying 6x2 + -2x + 36 = 5x2 + 10x Reorder the terms: 36 + -2x + 6x2 = 5x2 + 10x Reorder the terms: 36 + -2x + 6x2 = 10x + 5x2 Solving 36 + -2x + 6x2 = 10x + 5x2 Solving for variable 'x'. Reorder the terms: 36 + -2x + -10x + 6x2 + -5x2 = 10x + 5x2 + -10x + -5x2 Combine like terms: -2x + -10x = -12x 36 + -12x + 6x2 + -5x2 = 10x + 5x2 + -10x + -5x2 Combine like terms: 6x2 + -5x2 = 1x2 36 + -12x + 1x2 = 10x + 5x2 + -10x + -5x2 Reorder the terms: 36 + -12x + 1x2 = 10x + -10x + 5x2 + -5x2 Combine like terms: 10x + -10x = 0 36 + -12x + 1x2 = 0 + 5x2 + -5x2 36 + -12x + 1x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 36 + -12x + 1x2 = 0 Factor a trinomial. (6 + -1x)(6 + -1x) = 0Subproblem 1
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 = 6Subproblem 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 = {6, 6}
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