6x^2+4x-7=-5

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Solution for 6x^2+4x-7=-5 equation:


Simplifying
6x2 + 4x + -7 = -5

Reorder the terms:
-7 + 4x + 6x2 = -5

Solving
-7 + 4x + 6x2 = -5

Solving for variable 'x'.

Reorder the terms:
-7 + 5 + 4x + 6x2 = -5 + 5

Combine like terms: -7 + 5 = -2
-2 + 4x + 6x2 = -5 + 5

Combine like terms: -5 + 5 = 0
-2 + 4x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 2x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1

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

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 = {-1, 0.3333333333}

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