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Simplifying 10x + 5 + x2 + 4x + 10 = 162 Reorder the terms: 5 + 10 + 10x + 4x + x2 = 162 Combine like terms: 5 + 10 = 15 15 + 10x + 4x + x2 = 162 Combine like terms: 10x + 4x = 14x 15 + 14x + x2 = 162 Solving 15 + 14x + x2 = 162 Solving for variable 'x'. Reorder the terms: 15 + -162 + 14x + x2 = 162 + -162 Combine like terms: 15 + -162 = -147 -147 + 14x + x2 = 162 + -162 Combine like terms: 162 + -162 = 0 -147 + 14x + x2 = 0 Factor a trinomial. (-21 + -1x)(7 + -1x) = 0Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve: Simplifying -21 + -1x = 0 Solving -21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21Subproblem 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 = {-21, 7}
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