X^2(6x-11)(7x-8)=0

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Solution for X^2(6x-11)(7x-8)=0 equation: 


Simplifying
X2(6x + -11)(7x + -8) = 0

Reorder the terms:
X2(-11 + 6x)(7x + -8) = 0

Reorder the terms:
X2(-11 + 6x)(-8 + 7x) = 0

Multiply (-11 + 6x) * (-8 + 7x)
X2(-11(-8 + 7x) + 6x * (-8 + 7x)) = 0
X2((-8 * -11 + 7x * -11) + 6x * (-8 + 7x)) = 0
X2((88 + -77x) + 6x * (-8 + 7x)) = 0
X2(88 + -77x + (-8 * 6x + 7x * 6x)) = 0
X2(88 + -77x + (-48x + 42x2)) = 0

Combine like terms: -77x + -48x = -125x
X2(88 + -125x + 42x2) = 0
(88 * X2 + -125x * X2 + 42x2 * X2) = 0
(88X2 + -125xX2 + 42x2X2) = 0

Solving
88X2 + -125xX2 + 42x2X2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(88 + -125x + 42x2) = 0

Factor a trinomial.
X2((8 + -7x)(11 + -6x)) = 0


Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

Move all terms containing X to the left, all other terms to the right.

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

Move all terms containing X to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Add '7x' to each side of the equation.
-7x + 7x = -8 + 7x

Combine like terms: -7x + 7x = 0
0 = -8 + 7x

Simplifying
0 = -8 + 7x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(11 + -6x)' equal to zero and attempt to solve:

Simplifying
11 + -6x = 0

Solving
11 + -6x = 0

Move all terms containing X to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -6x = 0 + -11

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

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

Add '6x' to each side of the equation.
-6x + 6x = -11 + 6x

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

Simplifying
0 = -11 + 6x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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