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Simplifying (2x + -3) + -1[(x + 2)(x + -3)] + x2 + -3 = 0 Reorder the terms: (-3 + 2x) + -1[(x + 2)(x + -3)] + x2 + -3 = 0 Remove parenthesis around (-3 + 2x) -3 + 2x + -1[(x + 2)(x + -3)] + x2 + -3 = 0 Reorder the terms: -3 + 2x + -1[(2 + x)(x + -3)] + x2 + -3 = 0 Reorder the terms: -3 + 2x + -1[(2 + x)(-3 + x)] + x2 + -3 = 0 Multiply (2 + x) * (-3 + x) -3 + 2x + -1[(2(-3 + x) + x(-3 + x))] + x2 + -3 = 0 -3 + 2x + -1[((-3 * 2 + x * 2) + x(-3 + x))] + x2 + -3 = 0 -3 + 2x + -1[((-6 + 2x) + x(-3 + x))] + x2 + -3 = 0 -3 + 2x + -1[(-6 + 2x + (-3 * x + x * x))] + x2 + -3 = 0 -3 + 2x + -1[(-6 + 2x + (-3x + x2))] + x2 + -3 = 0 Combine like terms: 2x + -3x = -1x -3 + 2x + -1[(-6 + -1x + x2)] + x2 + -3 = 0 -3 + 2x + [-6 * -1 + -1x * -1 + x2 * -1] + x2 + -3 = 0 -3 + 2x + [6 + 1x + -1x2] + x2 + -3 = 0 Reorder the terms: -3 + 6 + -3 + 2x + 1x + -1x2 + x2 = 0 Combine like terms: -3 + 6 = 3 3 + -3 + 2x + 1x + -1x2 + x2 = 0 Combine like terms: 3 + -3 = 0 0 + 2x + 1x + -1x2 + x2 = 0 2x + 1x + -1x2 + x2 = 0 Combine like terms: 2x + 1x = 3x 3x + -1x2 + x2 = 0 Combine like terms: -1x2 + x2 = 0 3x + 0 = 0 3x = 0 Solving 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3'. x = 0 Simplifying x = 0
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