24x^2-281x-84=0

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Solution for 24x^2-281x-84=0 equation:


Simplifying
24x2 + -281x + -84 = 0

Reorder the terms:
-84 + -281x + 24x2 = 0

Solving
-84 + -281x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -24x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -24x)' equal to zero and attempt to solve: Simplifying -7 + -24x = 0 Solving -7 + -24x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -24x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -24x = 0 + 7 -24x = 0 + 7 Combine like terms: 0 + 7 = 7 -24x = 7 Divide each side by '-24'. x = -0.2916666667 Simplifying x = -0.2916666667

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-0.2916666667, 12}

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