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Simplifying x2 + -14x + -48 = (x + -8)(x + -6) Reorder the terms: -48 + -14x + x2 = (x + -8)(x + -6) Reorder the terms: -48 + -14x + x2 = (-8 + x)(x + -6) Reorder the terms: -48 + -14x + x2 = (-8 + x)(-6 + x) Multiply (-8 + x) * (-6 + x) -48 + -14x + x2 = (-8(-6 + x) + x(-6 + x)) -48 + -14x + x2 = ((-6 * -8 + x * -8) + x(-6 + x)) -48 + -14x + x2 = ((48 + -8x) + x(-6 + x)) -48 + -14x + x2 = (48 + -8x + (-6 * x + x * x)) -48 + -14x + x2 = (48 + -8x + (-6x + x2)) Combine like terms: -8x + -6x = -14x -48 + -14x + x2 = (48 + -14x + x2) Add '14x' to each side of the equation. -48 + -14x + 14x + x2 = 48 + -14x + 14x + x2 Combine like terms: -14x + 14x = 0 -48 + 0 + x2 = 48 + -14x + 14x + x2 -48 + x2 = 48 + -14x + 14x + x2 Combine like terms: -14x + 14x = 0 -48 + x2 = 48 + 0 + x2 -48 + x2 = 48 + x2 Add '-1x2' to each side of the equation. -48 + x2 + -1x2 = 48 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -48 + 0 = 48 + x2 + -1x2 -48 = 48 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -48 = 48 + 0 -48 = 48 Solving -48 = 48 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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