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Simplifying 8x2 + 6x + 1 = 7x2 + 14x + -14 Reorder the terms: 1 + 6x + 8x2 = 7x2 + 14x + -14 Reorder the terms: 1 + 6x + 8x2 = -14 + 14x + 7x2 Solving 1 + 6x + 8x2 = -14 + 14x + 7x2 Solving for variable 'x'. Reorder the terms: 1 + 14 + 6x + -14x + 8x2 + -7x2 = -14 + 14x + 7x2 + 14 + -14x + -7x2 Combine like terms: 1 + 14 = 15 15 + 6x + -14x + 8x2 + -7x2 = -14 + 14x + 7x2 + 14 + -14x + -7x2 Combine like terms: 6x + -14x = -8x 15 + -8x + 8x2 + -7x2 = -14 + 14x + 7x2 + 14 + -14x + -7x2 Combine like terms: 8x2 + -7x2 = 1x2 15 + -8x + 1x2 = -14 + 14x + 7x2 + 14 + -14x + -7x2 Reorder the terms: 15 + -8x + 1x2 = -14 + 14 + 14x + -14x + 7x2 + -7x2 Combine like terms: -14 + 14 = 0 15 + -8x + 1x2 = 0 + 14x + -14x + 7x2 + -7x2 15 + -8x + 1x2 = 14x + -14x + 7x2 + -7x2 Combine like terms: 14x + -14x = 0 15 + -8x + 1x2 = 0 + 7x2 + -7x2 15 + -8x + 1x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 15 + -8x + 1x2 = 0 Factor a trinomial. (3 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {3, 5}
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