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Simplifying (6x2 + 7x + -2) + -1(8x2 + -2x + -7) = 0 Reorder the terms: (-2 + 7x + 6x2) + -1(8x2 + -2x + -7) = 0 Remove parenthesis around (-2 + 7x + 6x2) -2 + 7x + 6x2 + -1(8x2 + -2x + -7) = 0 Reorder the terms: -2 + 7x + 6x2 + -1(-7 + -2x + 8x2) = 0 -2 + 7x + 6x2 + (-7 * -1 + -2x * -1 + 8x2 * -1) = 0 -2 + 7x + 6x2 + (7 + 2x + -8x2) = 0 Reorder the terms: -2 + 7 + 7x + 2x + 6x2 + -8x2 = 0 Combine like terms: -2 + 7 = 5 5 + 7x + 2x + 6x2 + -8x2 = 0 Combine like terms: 7x + 2x = 9x 5 + 9x + 6x2 + -8x2 = 0 Combine like terms: 6x2 + -8x2 = -2x2 5 + 9x + -2x2 = 0 Solving 5 + 9x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(1 + 2x) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {5, -0.5}
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