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Simplifying 3x + -2(x2 + -3x + 1) = (-2x + 1)(x + -5) Reorder the terms: 3x + -2(1 + -3x + x2) = (-2x + 1)(x + -5) 3x + (1 * -2 + -3x * -2 + x2 * -2) = (-2x + 1)(x + -5) 3x + (-2 + 6x + -2x2) = (-2x + 1)(x + -5) Reorder the terms: -2 + 3x + 6x + -2x2 = (-2x + 1)(x + -5) Combine like terms: 3x + 6x = 9x -2 + 9x + -2x2 = (-2x + 1)(x + -5) Reorder the terms: -2 + 9x + -2x2 = (1 + -2x)(x + -5) Reorder the terms: -2 + 9x + -2x2 = (1 + -2x)(-5 + x) Multiply (1 + -2x) * (-5 + x) -2 + 9x + -2x2 = (1(-5 + x) + -2x * (-5 + x)) -2 + 9x + -2x2 = ((-5 * 1 + x * 1) + -2x * (-5 + x)) -2 + 9x + -2x2 = ((-5 + 1x) + -2x * (-5 + x)) -2 + 9x + -2x2 = (-5 + 1x + (-5 * -2x + x * -2x)) -2 + 9x + -2x2 = (-5 + 1x + (10x + -2x2)) Combine like terms: 1x + 10x = 11x -2 + 9x + -2x2 = (-5 + 11x + -2x2) Add '2x2' to each side of the equation. -2 + 9x + -2x2 + 2x2 = -5 + 11x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -2 + 9x + 0 = -5 + 11x + -2x2 + 2x2 -2 + 9x = -5 + 11x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -2 + 9x = -5 + 11x + 0 -2 + 9x = -5 + 11x Solving -2 + 9x = -5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -2 + 9x + -11x = -5 + 11x + -11x Combine like terms: 9x + -11x = -2x -2 + -2x = -5 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + -2x = -5 + 0 -2 + -2x = -5 Add '2' to each side of the equation. -2 + 2 + -2x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -5 + 2 -2x = -5 + 2 Combine like terms: -5 + 2 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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