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Simplifying ((x + -10)(x + -10)) + -1x * x = -340 Reorder the terms: ((-10 + x)(x + -10)) + -1x * x = -340 Reorder the terms: ((-10 + x)(-10 + x)) + -1x * x = -340 Multiply (-10 + x) * (-10 + x) ((-10(-10 + x) + x(-10 + x))) + -1x * x = -340 (((-10 * -10 + x * -10) + x(-10 + x))) + -1x * x = -340 (((100 + -10x) + x(-10 + x))) + -1x * x = -340 ((100 + -10x + (-10 * x + x * x))) + -1x * x = -340 ((100 + -10x + (-10x + x2))) + -1x * x = -340 Combine like terms: -10x + -10x = -20x ((100 + -20x + x2)) + -1x * x = -340 (100 + -20x + x2) + -1x * x = -340 Remove parenthesis around (100 + -20x + x2) 100 + -20x + x2 + -1x * x = -340 Multiply x * x 100 + -20x + x2 + -1x2 = -340 Combine like terms: x2 + -1x2 = 0 100 + -20x + 0 = -340 100 + -20x = -340 Solving 100 + -20x = -340 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -20x = -340 + -100 Combine like terms: 100 + -100 = 0 0 + -20x = -340 + -100 -20x = -340 + -100 Combine like terms: -340 + -100 = -440 -20x = -440 Divide each side by '-20'. x = 22 Simplifying x = 22
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