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Simplifying 8X2 + -63X + -8 = (8X + 1)(X + -8) Reorder the terms: -8 + -63X + 8X2 = (8X + 1)(X + -8) Reorder the terms: -8 + -63X + 8X2 = (1 + 8X)(X + -8) Reorder the terms: -8 + -63X + 8X2 = (1 + 8X)(-8 + X) Multiply (1 + 8X) * (-8 + X) -8 + -63X + 8X2 = (1(-8 + X) + 8X * (-8 + X)) -8 + -63X + 8X2 = ((-8 * 1 + X * 1) + 8X * (-8 + X)) -8 + -63X + 8X2 = ((-8 + 1X) + 8X * (-8 + X)) -8 + -63X + 8X2 = (-8 + 1X + (-8 * 8X + X * 8X)) -8 + -63X + 8X2 = (-8 + 1X + (-64X + 8X2)) Combine like terms: 1X + -64X = -63X -8 + -63X + 8X2 = (-8 + -63X + 8X2) Add '8' to each side of the equation. -8 + -63X + 8 + 8X2 = -8 + -63X + 8 + 8X2 Reorder the terms: -8 + 8 + -63X + 8X2 = -8 + -63X + 8 + 8X2 Combine like terms: -8 + 8 = 0 0 + -63X + 8X2 = -8 + -63X + 8 + 8X2 -63X + 8X2 = -8 + -63X + 8 + 8X2 Reorder the terms: -63X + 8X2 = -8 + 8 + -63X + 8X2 Combine like terms: -8 + 8 = 0 -63X + 8X2 = 0 + -63X + 8X2 -63X + 8X2 = -63X + 8X2 Add '63X' to each side of the equation. -63X + 63X + 8X2 = -63X + 63X + 8X2 Combine like terms: -63X + 63X = 0 0 + 8X2 = -63X + 63X + 8X2 8X2 = -63X + 63X + 8X2 Combine like terms: -63X + 63X = 0 8X2 = 0 + 8X2 8X2 = 8X2 Add '-8X2' to each side of the equation. 8X2 + -8X2 = 8X2 + -8X2 Combine like terms: 8X2 + -8X2 = 0 0 = 8X2 + -8X2 Combine like terms: 8X2 + -8X2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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