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Simplifying (x + 10)(x + -7) = x2 + 3x + -70 Reorder the terms: (10 + x)(x + -7) = x2 + 3x + -70 Reorder the terms: (10 + x)(-7 + x) = x2 + 3x + -70 Multiply (10 + x) * (-7 + x) (10(-7 + x) + x(-7 + x)) = x2 + 3x + -70 ((-7 * 10 + x * 10) + x(-7 + x)) = x2 + 3x + -70 ((-70 + 10x) + x(-7 + x)) = x2 + 3x + -70 (-70 + 10x + (-7 * x + x * x)) = x2 + 3x + -70 (-70 + 10x + (-7x + x2)) = x2 + 3x + -70 Combine like terms: 10x + -7x = 3x (-70 + 3x + x2) = x2 + 3x + -70 Reorder the terms: -70 + 3x + x2 = -70 + 3x + x2 Add '70' to each side of the equation. -70 + 3x + 70 + x2 = -70 + 3x + 70 + x2 Reorder the terms: -70 + 70 + 3x + x2 = -70 + 3x + 70 + x2 Combine like terms: -70 + 70 = 0 0 + 3x + x2 = -70 + 3x + 70 + x2 3x + x2 = -70 + 3x + 70 + x2 Reorder the terms: 3x + x2 = -70 + 70 + 3x + x2 Combine like terms: -70 + 70 = 0 3x + x2 = 0 + 3x + x2 3x + x2 = 3x + x2 Add '-3x' to each side of the equation. 3x + -3x + x2 = 3x + -3x + x2 Combine like terms: 3x + -3x = 0 0 + x2 = 3x + -3x + x2 x2 = 3x + -3x + x2 Combine like terms: 3x + -3x = 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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