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Simplifying (x + 1)(x + -1) + -3(x + 2) = -7 Reorder the terms: (1 + x)(x + -1) + -3(x + 2) = -7 Reorder the terms: (1 + x)(-1 + x) + -3(x + 2) = -7 Multiply (1 + x) * (-1 + x) (1(-1 + x) + x(-1 + x)) + -3(x + 2) = -7 ((-1 * 1 + x * 1) + x(-1 + x)) + -3(x + 2) = -7 ((-1 + 1x) + x(-1 + x)) + -3(x + 2) = -7 (-1 + 1x + (-1 * x + x * x)) + -3(x + 2) = -7 (-1 + 1x + (-1x + x2)) + -3(x + 2) = -7 Combine like terms: 1x + -1x = 0 (-1 + 0 + x2) + -3(x + 2) = -7 (-1 + x2) + -3(x + 2) = -7 Reorder the terms: -1 + x2 + -3(2 + x) = -7 -1 + x2 + (2 * -3 + x * -3) = -7 -1 + x2 + (-6 + -3x) = -7 Reorder the terms: -1 + -6 + -3x + x2 = -7 Combine like terms: -1 + -6 = -7 -7 + -3x + x2 = -7 Add '7' to each side of the equation. -7 + -3x + 7 + x2 = -7 + 7 Reorder the terms: -7 + 7 + -3x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 0 + -3x + x2 = -7 + 7 -3x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -3x + x2 = 0 Solving -3x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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