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