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Simplifying (2x2) + -6x + 5 = x2 + 6x + -15 Reorder the terms: 5 + -6x + (2x2) = x2 + 6x + -15 Reorder the terms: 5 + -6x + (2x2) = -15 + 6x + x2 Solving 5 + -6x + (2x2) = -15 + 6x + x2 Solving for variable 'x'. Reorder the terms: 5 + 15 + -6x + -6x + (2x2) + -1x2 = -15 + 6x + x2 + 15 + -6x + -1x2 Combine like terms: 5 + 15 = 20 20 + -6x + -6x + (2x2) + -1x2 = -15 + 6x + x2 + 15 + -6x + -1x2 Combine like terms: -6x + -6x = -12x 20 + -12x + (2x2) + -1x2 = -15 + 6x + x2 + 15 + -6x + -1x2 Combine like terms: (2x2) + -1x2 = 1x2 20 + -12x + 1x2 = -15 + 6x + x2 + 15 + -6x + -1x2 Reorder the terms: 20 + -12x + 1x2 = -15 + 15 + 6x + -6x + x2 + -1x2 Combine like terms: -15 + 15 = 0 20 + -12x + 1x2 = 0 + 6x + -6x + x2 + -1x2 20 + -12x + 1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 20 + -12x + 1x2 = 0 + x2 + -1x2 20 + -12x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + -12x + 1x2 = 0 Factor a trinomial. (2 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {2, 10}
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