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Simplifying 4x + 5 + x2 + 10 = 180 Reorder the terms: 5 + 10 + 4x + x2 = 180 Combine like terms: 5 + 10 = 15 15 + 4x + x2 = 180 Solving 15 + 4x + x2 = 180 Solving for variable 'x'. Reorder the terms: 15 + -180 + 4x + x2 = 180 + -180 Combine like terms: 15 + -180 = -165 -165 + 4x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -165 + 4x + x2 = 0 Factor a trinomial. (-15 + -1x)(11 + -1x) = 0Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-15, 11}
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