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Simplifying 8x2 + -6x + 4 = 2(2x + 1)(2x + -1) Reorder the terms: 4 + -6x + 8x2 = 2(2x + 1)(2x + -1) Reorder the terms: 4 + -6x + 8x2 = 2(1 + 2x)(2x + -1) Reorder the terms: 4 + -6x + 8x2 = 2(1 + 2x)(-1 + 2x) Multiply (1 + 2x) * (-1 + 2x) 4 + -6x + 8x2 = 2(1(-1 + 2x) + 2x * (-1 + 2x)) 4 + -6x + 8x2 = 2((-1 * 1 + 2x * 1) + 2x * (-1 + 2x)) 4 + -6x + 8x2 = 2((-1 + 2x) + 2x * (-1 + 2x)) 4 + -6x + 8x2 = 2(-1 + 2x + (-1 * 2x + 2x * 2x)) 4 + -6x + 8x2 = 2(-1 + 2x + (-2x + 4x2)) Combine like terms: 2x + -2x = 0 4 + -6x + 8x2 = 2(-1 + 0 + 4x2) 4 + -6x + 8x2 = 2(-1 + 4x2) 4 + -6x + 8x2 = (-1 * 2 + 4x2 * 2) 4 + -6x + 8x2 = (-2 + 8x2) Add '-8x2' to each side of the equation. 4 + -6x + 8x2 + -8x2 = -2 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 4 + -6x + 0 = -2 + 8x2 + -8x2 4 + -6x = -2 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 4 + -6x = -2 + 0 4 + -6x = -2 Solving 4 + -6x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -6x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -2 + -4 -6x = -2 + -4 Combine like terms: -2 + -4 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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