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Simplifying 0 = X2 + 3X + -70 Reorder the terms: 0 = -70 + 3X + X2 Solving 0 = -70 + 3X + X2 Solving for variable 'X'. Combine like terms: 0 + 70 = 70 70 + -3X + -1X2 = -70 + 3X + X2 + 70 + -3X + -1X2 Reorder the terms: 70 + -3X + -1X2 = -70 + 70 + 3X + -3X + X2 + -1X2 Combine like terms: -70 + 70 = 0 70 + -3X + -1X2 = 0 + 3X + -3X + X2 + -1X2 70 + -3X + -1X2 = 3X + -3X + X2 + -1X2 Combine like terms: 3X + -3X = 0 70 + -3X + -1X2 = 0 + X2 + -1X2 70 + -3X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 70 + -3X + -1X2 = 0 Factor a trinomial. (7 + -1X)(10 + X) = 0Subproblem 1
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Subproblem 2
Set the factor '(10 + X)' equal to zero and attempt to solve: Simplifying 10 + X = 0 Solving 10 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X = 0 + -10 X = 0 + -10 Combine like terms: 0 + -10 = -10 X = -10 Simplifying X = -10Solution
X = {7, -10}
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