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Simplifying X2 + -10(X + 2) = 4 Reorder the terms: X2 + -10(2 + X) = 4 X2 + (2 * -10 + X * -10) = 4 X2 + (-20 + -10X) = 4 Reorder the terms: -20 + -10X + X2 = 4 Solving -20 + -10X + X2 = 4 Solving for variable 'X'. Reorder the terms: -20 + -4 + -10X + X2 = 4 + -4 Combine like terms: -20 + -4 = -24 -24 + -10X + X2 = 4 + -4 Combine like terms: 4 + -4 = 0 -24 + -10X + X2 = 0 Factor a trinomial. (-2 + -1X)(12 + -1X) = 0Subproblem 1
Set the factor '(-2 + -1X)' equal to zero and attempt to solve: Simplifying -2 + -1X = 0 Solving -2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1X = 0 + 2 -1X = 0 + 2 Combine like terms: 0 + 2 = 2 -1X = 2 Divide each side by '-1'. X = -2 Simplifying X = -2Subproblem 2
Set the factor '(12 + -1X)' equal to zero and attempt to solve: Simplifying 12 + -1X = 0 Solving 12 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1X = 0 + -12 -1X = 0 + -12 Combine like terms: 0 + -12 = -12 -1X = -12 Divide each side by '-1'. X = 12 Simplifying X = 12Solution
X = {-2, 12}
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