48x^2+55x-12=0

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Solution for 48x^2+55x-12=0 equation:


Simplifying
48x2 + 55x + -12 = 0

Reorder the terms:
-12 + 55x + 48x2 = 0

Solving
-12 + 55x + 48x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -3x)(3 + -16x) = 0

Subproblem 1

Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 2

Set the factor '(3 + -16x)' equal to zero and attempt to solve: Simplifying 3 + -16x = 0 Solving 3 + -16x = 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 + -16x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -16x = 0 + -3 -16x = 0 + -3 Combine like terms: 0 + -3 = -3 -16x = -3 Divide each side by '-16'. x = 0.1875 Simplifying x = 0.1875

Solution

x = {-1.333333333, 0.1875}

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