22x+8=6x^2

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Solution for 22x+8=6x^2 equation:


Simplifying
22x + 8 = 6x2

Reorder the terms:
8 + 22x = 6x2

Solving
8 + 22x = 6x2

Solving for variable 'x'.

Combine like terms: 6x2 + -6x2 = 0
8 + 22x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 11x + -3x2) = 0

Factor a trinomial.
2((4 + -1x)(1 + 3x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {4, -0.3333333333}

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