4(x*x)+11x-69=0

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Solution for 4(x*x)+11x-69=0 equation:


Simplifying
4(x * x) + 11x + -69 = 0

Multiply x * x
4(x2) + 11x + -69 = 0

Reorder the terms:
-69 + 11x + 4x2 = 0

Solving
-69 + 11x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-23 + -4x)(3 + -1x) = 0

Subproblem 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 = -5.75

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-5.75, 3}

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