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Simplifying (2x2 + x + -3) + (7x + -1x2) + -1(6x + -4) = 0 Reorder the terms: (-3 + x + 2x2) + (7x + -1x2) + -1(6x + -4) = 0 Remove parenthesis around (-3 + x + 2x2) -3 + x + 2x2 + (7x + -1x2) + -1(6x + -4) = 0 Remove parenthesis around (7x + -1x2) -3 + x + 2x2 + 7x + -1x2 + -1(6x + -4) = 0 Reorder the terms: -3 + x + 2x2 + 7x + -1x2 + -1(-4 + 6x) = 0 -3 + x + 2x2 + 7x + -1x2 + (-4 * -1 + 6x * -1) = 0 -3 + x + 2x2 + 7x + -1x2 + (4 + -6x) = 0 Reorder the terms: -3 + 4 + x + 7x + -6x + 2x2 + -1x2 = 0 Combine like terms: -3 + 4 = 1 1 + x + 7x + -6x + 2x2 + -1x2 = 0 Combine like terms: x + 7x = 8x 1 + 8x + -6x + 2x2 + -1x2 = 0 Combine like terms: 8x + -6x = 2x 1 + 2x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 1 + 2x + 1x2 = 0 Solving 1 + 2x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + x)(1 + x) = 0Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1, -1}
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