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Simplifying 4x2(x + -2) = (2x + 1)(2x + -3) Reorder the terms: 4x2(-2 + x) = (2x + 1)(2x + -3) (-2 * 4x2 + x * 4x2) = (2x + 1)(2x + -3) (-8x2 + 4x3) = (2x + 1)(2x + -3) Reorder the terms: -8x2 + 4x3 = (1 + 2x)(2x + -3) Reorder the terms: -8x2 + 4x3 = (1 + 2x)(-3 + 2x) Multiply (1 + 2x) * (-3 + 2x) -8x2 + 4x3 = (1(-3 + 2x) + 2x * (-3 + 2x)) -8x2 + 4x3 = ((-3 * 1 + 2x * 1) + 2x * (-3 + 2x)) -8x2 + 4x3 = ((-3 + 2x) + 2x * (-3 + 2x)) -8x2 + 4x3 = (-3 + 2x + (-3 * 2x + 2x * 2x)) -8x2 + 4x3 = (-3 + 2x + (-6x + 4x2)) Combine like terms: 2x + -6x = -4x -8x2 + 4x3 = (-3 + -4x + 4x2) Solving -8x2 + 4x3 = -3 + -4x + 4x2 Solving for variable 'x'. Reorder the terms: 3 + 4x + -8x2 + -4x2 + 4x3 = -3 + -4x + 4x2 + 3 + 4x + -4x2 Combine like terms: -8x2 + -4x2 = -12x2 3 + 4x + -12x2 + 4x3 = -3 + -4x + 4x2 + 3 + 4x + -4x2 Reorder the terms: 3 + 4x + -12x2 + 4x3 = -3 + 3 + -4x + 4x + 4x2 + -4x2 Combine like terms: -3 + 3 = 0 3 + 4x + -12x2 + 4x3 = 0 + -4x + 4x + 4x2 + -4x2 3 + 4x + -12x2 + 4x3 = -4x + 4x + 4x2 + -4x2 Combine like terms: -4x + 4x = 0 3 + 4x + -12x2 + 4x3 = 0 + 4x2 + -4x2 3 + 4x + -12x2 + 4x3 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 3 + 4x + -12x2 + 4x3 = 0 The solution to this equation could not be determined.
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