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Simplifying x(x + 3) = 5x + 3 Reorder the terms: x(3 + x) = 5x + 3 (3 * x + x * x) = 5x + 3 (3x + x2) = 5x + 3 Reorder the terms: 3x + x2 = 3 + 5x Solving 3x + x2 = 3 + 5x Solving for variable 'x'. Reorder the terms: -3 + 3x + -5x + x2 = 3 + 5x + -3 + -5x Combine like terms: 3x + -5x = -2x -3 + -2x + x2 = 3 + 5x + -3 + -5x Reorder the terms: -3 + -2x + x2 = 3 + -3 + 5x + -5x Combine like terms: 3 + -3 = 0 -3 + -2x + x2 = 0 + 5x + -5x -3 + -2x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -2x + x2 = 0 Factor a trinomial. (-1 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-1, 3}
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