6x^2+8x^2=26x^3

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Solution for 6x^2+8x^2=26x^3 equation: 


Simplifying
6x2 + 8x2 = 26x3

Combine like terms: 6x2 + 8x2 = 14x2
14x2 = 26x3

Solving
14x2 = 26x3

Solving for variable 'x'.

Combine like terms: 26x3 + -26x3 = 0
14x2 + -26x3 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(7 + -13x) = 0

Ignore the factor 2.

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 '(7 + -13x)' equal to zero and attempt to solve:

Simplifying
7 + -13x = 0

Solving
7 + -13x = 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 + -13x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -13x = 0 + -7
-13x = 0 + -7

Combine like terms: 0 + -7 = -7
-13x = -7

Divide each side by '-13'.
x = 0.5384615385

Simplifying
x = 0.5384615385
Solution
x = {0, 0.5384615385}

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