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Simplifying x(x + -3) + x(2x + -1) = 3x(x + -2) + -3 Reorder the terms: x(-3 + x) + x(2x + -1) = 3x(x + -2) + -3 (-3 * x + x * x) + x(2x + -1) = 3x(x + -2) + -3 (-3x + x2) + x(2x + -1) = 3x(x + -2) + -3 Reorder the terms: -3x + x2 + x(-1 + 2x) = 3x(x + -2) + -3 -3x + x2 + (-1 * x + 2x * x) = 3x(x + -2) + -3 -3x + x2 + (-1x + 2x2) = 3x(x + -2) + -3 Reorder the terms: -3x + -1x + x2 + 2x2 = 3x(x + -2) + -3 Combine like terms: -3x + -1x = -4x -4x + x2 + 2x2 = 3x(x + -2) + -3 Combine like terms: x2 + 2x2 = 3x2 -4x + 3x2 = 3x(x + -2) + -3 Reorder the terms: -4x + 3x2 = 3x(-2 + x) + -3 -4x + 3x2 = (-2 * 3x + x * 3x) + -3 -4x + 3x2 = (-6x + 3x2) + -3 Reorder the terms: -4x + 3x2 = -3 + -6x + 3x2 Add '-3x2' to each side of the equation. -4x + 3x2 + -3x2 = -3 + -6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4x + 0 = -3 + -6x + 3x2 + -3x2 -4x = -3 + -6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4x = -3 + -6x + 0 -4x = -3 + -6x Solving -4x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4x + 6x = -3 + -6x + 6x Combine like terms: -4x + 6x = 2x 2x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 2x = -3 + 0 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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