4x^2-23x-440=0

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Solution for 4x^2-23x-440=0 equation:


Simplifying
4x2 + -23x + -440 = 0

Reorder the terms:
-440 + -23x + 4x2 = 0

Solving
-440 + -23x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(55 + -4x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(55 + -4x)' equal to zero and attempt to solve: Simplifying 55 + -4x = 0 Solving 55 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -4x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -4x = 0 + -55 -4x = 0 + -55 Combine like terms: 0 + -55 = -55 -4x = -55 Divide each side by '-4'. x = 13.75 Simplifying x = 13.75

Solution

x = {-8, 13.75}

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