-3x^2-4x+224=0

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Solution for -3x^2-4x+224=0 equation:


Simplifying
-3x2 + -4x + 224 = 0

Reorder the terms:
224 + -4x + -3x2 = 0

Solving
224 + -4x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -1x)(28 + 3x) = 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 '(28 + 3x)' equal to zero and attempt to solve: Simplifying 28 + 3x = 0 Solving 28 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 3x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 0 + -28 3x = 0 + -28 Combine like terms: 0 + -28 = -28 3x = -28 Divide each side by '3'. x = -9.333333333 Simplifying x = -9.333333333

Solution

x = {8, -9.333333333}

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