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Simplifying -1x2 + 32 = (X + 4)(X + -4) Reorder the terms: 32 + -1x2 = (X + 4)(X + -4) Reorder the terms: 32 + -1x2 = (4 + X)(X + -4) Reorder the terms: 32 + -1x2 = (4 + X)(-4 + X) Multiply (4 + X) * (-4 + X) 32 + -1x2 = (4(-4 + X) + X(-4 + X)) 32 + -1x2 = ((-4 * 4 + X * 4) + X(-4 + X)) 32 + -1x2 = ((-16 + 4X) + X(-4 + X)) 32 + -1x2 = (-16 + 4X + (-4 * X + X * X)) 32 + -1x2 = (-16 + 4X + (-4X + X2)) Combine like terms: 4X + -4X = 0 32 + -1x2 = (-16 + 0 + X2) 32 + -1x2 = (-16 + X2) Solving 32 + -1x2 = -16 + X2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1x2 = -16 + -32 + X2 Combine like terms: 32 + -32 = 0 0 + -1x2 = -16 + -32 + X2 -1x2 = -16 + -32 + X2 Combine like terms: -16 + -32 = -48 -1x2 = -48 + X2 Divide each side by '-1'. x2 = 48 + -1X2 Simplifying x2 = 48 + -1X2 Reorder the terms: -48 + X2 + x2 = 48 + -1X2 + -48 + X2 Reorder the terms: -48 + X2 + x2 = 48 + -48 + -1X2 + X2 Combine like terms: 48 + -48 = 0 -48 + X2 + x2 = 0 + -1X2 + X2 -48 + X2 + x2 = -1X2 + X2 Combine like terms: -1X2 + X2 = 0 -48 + X2 + x2 = 0 The solution to this equation could not be determined.
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