6X^2+11X-7=0

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


Simplifying
6X2 + 11X + -7 = 0

Reorder the terms:
-7 + 11X + 6X2 = 0

Solving
-7 + 11X + 6X2 = 0

Solving for variable 'X'.

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


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 '(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
Solution
X = {-2.333333333, 0.5}

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