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Simplifying (3x + 7)(-1x + 1) = 7 Reorder the terms: (7 + 3x)(-1x + 1) = 7 Reorder the terms: (7 + 3x)(1 + -1x) = 7 Multiply (7 + 3x) * (1 + -1x) (7(1 + -1x) + 3x * (1 + -1x)) = 7 ((1 * 7 + -1x * 7) + 3x * (1 + -1x)) = 7 ((7 + -7x) + 3x * (1 + -1x)) = 7 (7 + -7x + (1 * 3x + -1x * 3x)) = 7 (7 + -7x + (3x + -3x2)) = 7 Combine like terms: -7x + 3x = -4x (7 + -4x + -3x2) = 7 Add '-7' to each side of the equation. 7 + -4x + -7 + -3x2 = 7 + -7 Reorder the terms: 7 + -7 + -4x + -3x2 = 7 + -7 Combine like terms: 7 + -7 = 0 0 + -4x + -3x2 = 7 + -7 -4x + -3x2 = 7 + -7 Combine like terms: 7 + -7 = 0 -4x + -3x2 = 0 Solving -4x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(4 + 3x) = 0 Ignore the factor -1.Subproblem 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 '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {0, -1.333333333}
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