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