6x^2+26x=-28

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Solution for 6x^2+26x=-28 equation:


Simplifying
6x2 + 26x = -28

Reorder the terms:
26x + 6x2 = -28

Solving
26x + 6x2 = -28

Solving for variable 'x'.

Reorder the terms:
28 + 26x + 6x2 = -28 + 28

Combine like terms: -28 + 28 = 0
28 + 26x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + 13x + 3x2) = 0

Factor a trinomial.
2((7 + 3x)(2 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

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

Solution

x = {-2.333333333, -2}

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