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Simplifying x(4x + 3) = 115 Reorder the terms: x(3 + 4x) = 115 (3 * x + 4x * x) = 115 (3x + 4x2) = 115 Solving 3x + 4x2 = 115 Solving for variable 'x'. Reorder the terms: -115 + 3x + 4x2 = 115 + -115 Combine like terms: 115 + -115 = 0 -115 + 3x + 4x2 = 0 Factor a trinomial. (-23 + -4x)(5 + -1x) = 0Subproblem 1
Set the factor '(-23 + -4x)' equal to zero and attempt to solve: Simplifying -23 + -4x = 0 Solving -23 + -4x = 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 + -4x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -4x = 0 + 23 -4x = 0 + 23 Combine like terms: 0 + 23 = 23 -4x = 23 Divide each side by '-4'. x = -5.75 Simplifying x = -5.75Subproblem 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 = {-5.75, 5}
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