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Simplifying X * X + -2X + 7 = 42 Multiply X * X X2 + -2X + 7 = 42 Reorder the terms: 7 + -2X + X2 = 42 Solving 7 + -2X + X2 = 42 Solving for variable 'X'. Reorder the terms: 7 + -42 + -2X + X2 = 42 + -42 Combine like terms: 7 + -42 = -35 -35 + -2X + X2 = 42 + -42 Combine like terms: 42 + -42 = 0 -35 + -2X + X2 = 0 Factor a trinomial. (-5 + -1X)(7 + -1X) = 0Subproblem 1
Set the factor '(-5 + -1X)' equal to zero and attempt to solve: Simplifying -5 + -1X = 0 Solving -5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1X = 0 + 5 -1X = 0 + 5 Combine like terms: 0 + 5 = 5 -1X = 5 Divide each side by '-1'. X = -5 Simplifying X = -5Subproblem 2
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 = 7Solution
X = {-5, 7}
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