6x*x+26x=-8

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Solution for 6x*x+26x=-8 equation:


Simplifying
6x * x + 26x = -8

Multiply x * x
6x2 + 26x = -8

Reorder the terms:
26x + 6x2 = -8

Solving
26x + 6x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 26x + 6x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 26x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 13x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1

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