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Simplifying x2 + -100 = (x + 10)(x + -10) Reorder the terms: -100 + x2 = (x + 10)(x + -10) Reorder the terms: -100 + x2 = (10 + x)(x + -10) Reorder the terms: -100 + x2 = (10 + x)(-10 + x) Multiply (10 + x) * (-10 + x) -100 + x2 = (10(-10 + x) + x(-10 + x)) -100 + x2 = ((-10 * 10 + x * 10) + x(-10 + x)) -100 + x2 = ((-100 + 10x) + x(-10 + x)) -100 + x2 = (-100 + 10x + (-10 * x + x * x)) -100 + x2 = (-100 + 10x + (-10x + x2)) Combine like terms: 10x + -10x = 0 -100 + x2 = (-100 + 0 + x2) -100 + x2 = (-100 + x2) Add '100' to each side of the equation. -100 + 100 + x2 = -100 + 100 + x2 Combine like terms: -100 + 100 = 0 0 + x2 = -100 + 100 + x2 x2 = -100 + 100 + x2 Combine like terms: -100 + 100 = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 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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