4x^2-43x+115=0

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Solution for 4x^2-43x+115=0 equation:


Simplifying
4x2 + -43x + 115 = 0

Reorder the terms:
115 + -43x + 4x2 = 0

Solving
115 + -43x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x)(23 + -4x) = 0

Subproblem 1

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 = 5

Subproblem 2

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 = 5.75

Solution

x = {5, 5.75}

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