12x^2=5-4x

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Solution for 12x^2=5-4x equation:


Simplifying
12x2 = 5 + -4x

Solving
12x2 = 5 + -4x

Solving for variable 'x'.

Reorder the terms:
-5 + 4x + 12x2 = 5 + -4x + -5 + 4x

Reorder the terms:
-5 + 4x + 12x2 = 5 + -5 + -4x + 4x

Combine like terms: 5 + -5 = 0
-5 + 4x + 12x2 = 0 + -4x + 4x
-5 + 4x + 12x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 4x + 12x2 = 0

Factor a trinomial.
(-5 + -6x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -6x)' equal to zero and attempt to solve: Simplifying -5 + -6x = 0 Solving -5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-0.8333333333, 0.5}

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