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Simplifying 4x2 + 75 + x = 180 Reorder the terms: 75 + x + 4x2 = 180 Solving 75 + x + 4x2 = 180 Solving for variable 'x'. Reorder the terms: 75 + -180 + x + 4x2 = 180 + -180 Combine like terms: 75 + -180 = -105 -105 + x + 4x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -105 + x + 4x2 = 0 Factor a trinomial. (-21 + -4x)(5 + -1x) = 0Subproblem 1
Set the factor '(-21 + -4x)' equal to zero and attempt to solve: Simplifying -21 + -4x = 0 Solving -21 + -4x = 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 + -4x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 0 + 21 -4x = 0 + 21 Combine like terms: 0 + 21 = 21 -4x = 21 Divide each side by '-4'. x = -5.25 Simplifying x = -5.25Subproblem 2
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 = 5Solution
x = {-5.25, 5}
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