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Simplifying (2x + -3)(2x + 3) = 4(x + 1)(x + -1) Reorder the terms: (-3 + 2x)(2x + 3) = 4(x + 1)(x + -1) Reorder the terms: (-3 + 2x)(3 + 2x) = 4(x + 1)(x + -1) Multiply (-3 + 2x) * (3 + 2x) (-3(3 + 2x) + 2x * (3 + 2x)) = 4(x + 1)(x + -1) ((3 * -3 + 2x * -3) + 2x * (3 + 2x)) = 4(x + 1)(x + -1) ((-9 + -6x) + 2x * (3 + 2x)) = 4(x + 1)(x + -1) (-9 + -6x + (3 * 2x + 2x * 2x)) = 4(x + 1)(x + -1) (-9 + -6x + (6x + 4x2)) = 4(x + 1)(x + -1) Combine like terms: -6x + 6x = 0 (-9 + 0 + 4x2) = 4(x + 1)(x + -1) (-9 + 4x2) = 4(x + 1)(x + -1) Reorder the terms: -9 + 4x2 = 4(1 + x)(x + -1) Reorder the terms: -9 + 4x2 = 4(1 + x)(-1 + x) Multiply (1 + x) * (-1 + x) -9 + 4x2 = 4(1(-1 + x) + x(-1 + x)) -9 + 4x2 = 4((-1 * 1 + x * 1) + x(-1 + x)) -9 + 4x2 = 4((-1 + 1x) + x(-1 + x)) -9 + 4x2 = 4(-1 + 1x + (-1 * x + x * x)) -9 + 4x2 = 4(-1 + 1x + (-1x + x2)) Combine like terms: 1x + -1x = 0 -9 + 4x2 = 4(-1 + 0 + x2) -9 + 4x2 = 4(-1 + x2) -9 + 4x2 = (-1 * 4 + x2 * 4) -9 + 4x2 = (-4 + 4x2) Add '-4x2' to each side of the equation. -9 + 4x2 + -4x2 = -4 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9 + 0 = -4 + 4x2 + -4x2 -9 = -4 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9 = -4 + 0 -9 = -4 Solving -9 = -4 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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