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Simplifying x2 + -3x(2 + x) = -1x(3 + 2x) + 15 x2 + (2 * -3x + x * -3x) = -1x(3 + 2x) + 15 x2 + (-6x + -3x2) = -1x(3 + 2x) + 15 Reorder the terms: -6x + x2 + -3x2 = -1x(3 + 2x) + 15 Combine like terms: x2 + -3x2 = -2x2 -6x + -2x2 = -1x(3 + 2x) + 15 -6x + -2x2 = (3 * -1x + 2x * -1x) + 15 -6x + -2x2 = (-3x + -2x2) + 15 Reorder the terms: -6x + -2x2 = 15 + -3x + -2x2 Add '2x2' to each side of the equation. -6x + -2x2 + 2x2 = 15 + -3x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -6x + 0 = 15 + -3x + -2x2 + 2x2 -6x = 15 + -3x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -6x = 15 + -3x + 0 -6x = 15 + -3x Solving -6x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6x + 3x = 15 + -3x + 3x Combine like terms: -6x + 3x = -3x -3x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -3x = 15 + 0 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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