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Simplifying (2x + -3)(2x + 3) + -1x + 2 = 4x2 + 15 Reorder the terms: (-3 + 2x)(2x + 3) + -1x + 2 = 4x2 + 15 Reorder the terms: (-3 + 2x)(3 + 2x) + -1x + 2 = 4x2 + 15 Multiply (-3 + 2x) * (3 + 2x) (-3(3 + 2x) + 2x * (3 + 2x)) + -1x + 2 = 4x2 + 15 ((3 * -3 + 2x * -3) + 2x * (3 + 2x)) + -1x + 2 = 4x2 + 15 ((-9 + -6x) + 2x * (3 + 2x)) + -1x + 2 = 4x2 + 15 (-9 + -6x + (3 * 2x + 2x * 2x)) + -1x + 2 = 4x2 + 15 (-9 + -6x + (6x + 4x2)) + -1x + 2 = 4x2 + 15 Combine like terms: -6x + 6x = 0 (-9 + 0 + 4x2) + -1x + 2 = 4x2 + 15 (-9 + 4x2) + -1x + 2 = 4x2 + 15 Reorder the terms: -9 + 2 + -1x + 4x2 = 4x2 + 15 Combine like terms: -9 + 2 = -7 -7 + -1x + 4x2 = 4x2 + 15 Reorder the terms: -7 + -1x + 4x2 = 15 + 4x2 Add '-4x2' to each side of the equation. -7 + -1x + 4x2 + -4x2 = 15 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7 + -1x + 0 = 15 + 4x2 + -4x2 -7 + -1x = 15 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7 + -1x = 15 + 0 -7 + -1x = 15 Solving -7 + -1x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 15 + 7 -1x = 15 + 7 Combine like terms: 15 + 7 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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