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Simplifying 4x2 + 5x + 1 = 126 Reorder the terms: 1 + 5x + 4x2 = 126 Solving 1 + 5x + 4x2 = 126 Solving for variable 'x'. Reorder the terms: 1 + -126 + 5x + 4x2 = 126 + -126 Combine like terms: 1 + -126 = -125 -125 + 5x + 4x2 = 126 + -126 Combine like terms: 126 + -126 = 0 -125 + 5x + 4x2 = 0 Factor a trinomial. (-25 + -4x)(5 + -1x) = 0Subproblem 1
Set the factor '(-25 + -4x)' equal to zero and attempt to solve: Simplifying -25 + -4x = 0 Solving -25 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -4x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -4x = 0 + 25 -4x = 0 + 25 Combine like terms: 0 + 25 = 25 -4x = 25 Divide each side by '-4'. x = -6.25 Simplifying x = -6.25Subproblem 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 = {-6.25, 5}
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