0=6x^2+11x-7

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Solution for 0=6x^2+11x-7 equation: 


Simplifying
0 = 6x2 + 11x + -7

Reorder the terms:
0 = -7 + 11x + 6x2

Solving
0 = -7 + 11x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + 7 = 7
7 + -11x + -6x2 = -7 + 11x + 6x2 + 7 + -11x + -6x2

Reorder the terms:
7 + -11x + -6x2 = -7 + 7 + 11x + -11x + 6x2 + -6x2

Combine like terms: -7 + 7 = 0
7 + -11x + -6x2 = 0 + 11x + -11x + 6x2 + -6x2
7 + -11x + -6x2 = 11x + -11x + 6x2 + -6x2

Combine like terms: 11x + -11x = 0
7 + -11x + -6x2 = 0 + 6x2 + -6x2
7 + -11x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
7 + -11x + -6x2 = 0

Factor a trinomial.
(1 + -2x)(7 + 3x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {0.5, -2.333333333}

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