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Simplifying 16x * 16x + -4x + 5 + -1(16x * 16x + -8x) + 1 = 0 Reorder the terms for easier multiplication: 16 * 16x * x + -4x + 5 + -1(16x * 16x + -8x) + 1 = 0 Multiply 16 * 16 256x * x + -4x + 5 + -1(16x * 16x + -8x) + 1 = 0 Multiply x * x 256x2 + -4x + 5 + -1(16x * 16x + -8x) + 1 = 0 Reorder the terms for easier multiplication: 256x2 + -4x + 5 + -1(16 * 16x * x + -8x) + 1 = 0 Multiply 16 * 16 256x2 + -4x + 5 + -1(256x * x + -8x) + 1 = 0 Multiply x * x 256x2 + -4x + 5 + -1(256x2 + -8x) + 1 = 0 Reorder the terms: 256x2 + -4x + 5 + -1(-8x + 256x2) + 1 = 0 256x2 + -4x + 5 + (-8x * -1 + 256x2 * -1) + 1 = 0 256x2 + -4x + 5 + (8x + -256x2) + 1 = 0 Reorder the terms: 5 + 1 + -4x + 8x + 256x2 + -256x2 = 0 Combine like terms: 5 + 1 = 6 6 + -4x + 8x + 256x2 + -256x2 = 0 Combine like terms: -4x + 8x = 4x 6 + 4x + 256x2 + -256x2 = 0 Combine like terms: 256x2 + -256x2 = 0 6 + 4x + 0 = 0 6 + 4x = 0 Solving 6 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 0 + -6 4x = 0 + -6 Combine like terms: 0 + -6 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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