6(x*x)-8x=x(6(x*x)-8)

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Solution for 6(x*x)-8x=x(6(x*x)-8) equation:


Simplifying
6(x * x) + -8x = x(6(x * x) + -8)

Multiply x * x
6(x2) + -8x = x(6(x * x) + -8)

Reorder the terms:
-8x + 6x2 = x(6(x * x) + -8)

Multiply x * x
-8x + 6x2 = x(6(x2) + -8)

Reorder the terms:
-8x + 6x2 = x(-8 + 6x2)
-8x + 6x2 = (-8 * x + 6x2 * x)
-8x + 6x2 = (-8x + 6x3)

Add '8x' to each side of the equation.
-8x + 8x + 6x2 = -8x + 8x + 6x3

Combine like terms: -8x + 8x = 0
0 + 6x2 = -8x + 8x + 6x3
6x2 = -8x + 8x + 6x3

Combine like terms: -8x + 8x = 0
6x2 = 0 + 6x3
6x2 = 6x3

Solving
6x2 = 6x3

Solving for variable 'x'.

Combine like terms: 6x3 + -6x3 = 0
6x2 + -6x3 = 0

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(1 + -1x) = 0

Ignore the factor 6.

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 '(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

Solution

x = {0, 1}

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