4x^2+11x-1200=0

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Solution for 4x^2+11x-1200=0 equation:


Simplifying
4x2 + 11x + -1200 = 0

Reorder the terms:
-1200 + 11x + 4x2 = 0

Solving
-1200 + 11x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-75 + -4x)(16 + -1x) = 0

Subproblem 1

Set the factor '(-75 + -4x)' equal to zero and attempt to solve: Simplifying -75 + -4x = 0 Solving -75 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -4x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -4x = 0 + 75 -4x = 0 + 75 Combine like terms: 0 + 75 = 75 -4x = 75 Divide each side by '-4'. x = -18.75 Simplifying x = -18.75

Subproblem 2

Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Solution

x = {-18.75, 16}

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