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Simplifying (x2) + -1(275 + 4x) = 162 x2 + -1(275 + 4x) = 162 x2 + (275 * -1 + 4x * -1) = 162 x2 + (-275 + -4x) = 162 Reorder the terms: -275 + -4x + x2 = 162 Solving -275 + -4x + x2 = 162 Solving for variable 'x'. Reorder the terms: -275 + -162 + -4x + x2 = 162 + -162 Combine like terms: -275 + -162 = -437 -437 + -4x + x2 = 162 + -162 Combine like terms: 162 + -162 = 0 -437 + -4x + x2 = 0 Factor a trinomial. (-19 + -1x)(23 + -1x) = 0Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19Subproblem 2
Set the factor '(23 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23Solution
x = {-19, 23}
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