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Simplifying -1x2 + 45x + -350 = (10 + -1x)(x + -35) Reorder the terms: -350 + 45x + -1x2 = (10 + -1x)(x + -35) Reorder the terms: -350 + 45x + -1x2 = (10 + -1x)(-35 + x) Multiply (10 + -1x) * (-35 + x) -350 + 45x + -1x2 = (10(-35 + x) + -1x * (-35 + x)) -350 + 45x + -1x2 = ((-35 * 10 + x * 10) + -1x * (-35 + x)) -350 + 45x + -1x2 = ((-350 + 10x) + -1x * (-35 + x)) -350 + 45x + -1x2 = (-350 + 10x + (-35 * -1x + x * -1x)) -350 + 45x + -1x2 = (-350 + 10x + (35x + -1x2)) Combine like terms: 10x + 35x = 45x -350 + 45x + -1x2 = (-350 + 45x + -1x2) Add '350' to each side of the equation. -350 + 45x + 350 + -1x2 = -350 + 45x + 350 + -1x2 Reorder the terms: -350 + 350 + 45x + -1x2 = -350 + 45x + 350 + -1x2 Combine like terms: -350 + 350 = 0 0 + 45x + -1x2 = -350 + 45x + 350 + -1x2 45x + -1x2 = -350 + 45x + 350 + -1x2 Reorder the terms: 45x + -1x2 = -350 + 350 + 45x + -1x2 Combine like terms: -350 + 350 = 0 45x + -1x2 = 0 + 45x + -1x2 45x + -1x2 = 45x + -1x2 Add '-45x' to each side of the equation. 45x + -45x + -1x2 = 45x + -45x + -1x2 Combine like terms: 45x + -45x = 0 0 + -1x2 = 45x + -45x + -1x2 -1x2 = 45x + -45x + -1x2 Combine like terms: 45x + -45x = 0 -1x2 = 0 + -1x2 -1x2 = -1x2 Add 'x2' to each side of the equation. -1x2 + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 0 = -1x2 + x2 Combine like terms: -1x2 + x2 = 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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