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Simplifying (2x + -3)(x + -1) = 3 Reorder the terms: (-3 + 2x)(x + -1) = 3 Reorder the terms: (-3 + 2x)(-1 + x) = 3 Multiply (-3 + 2x) * (-1 + x) (-3(-1 + x) + 2x * (-1 + x)) = 3 ((-1 * -3 + x * -3) + 2x * (-1 + x)) = 3 ((3 + -3x) + 2x * (-1 + x)) = 3 (3 + -3x + (-1 * 2x + x * 2x)) = 3 (3 + -3x + (-2x + 2x2)) = 3 Combine like terms: -3x + -2x = -5x (3 + -5x + 2x2) = 3 Add '-3' to each side of the equation. 3 + -5x + -3 + 2x2 = 3 + -3 Reorder the terms: 3 + -3 + -5x + 2x2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -5x + 2x2 = 3 + -3 -5x + 2x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -5x + 2x2 = 0 Solving -5x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 2x) = 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 '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Solution
x = {0, 2.5}
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