6x^2+8x^2=25x^3

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Solution for 6x^2+8x^2=25x^3 equation: 


Simplifying
6x2 + 8x2 = 25x3

Combine like terms: 6x2 + 8x2 = 14x2
14x2 = 25x3

Solving
14x2 = 25x3

Solving for variable 'x'.

Combine like terms: 25x3 + -25x3 = 0
14x2 + -25x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(14 + -25x) = 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 '(14 + -25x)' equal to zero and attempt to solve:

Simplifying
14 + -25x = 0

Solving
14 + -25x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -25x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -25x = 0 + -14
-25x = 0 + -14

Combine like terms: 0 + -14 = -14
-25x = -14

Divide each side by '-25'.
x = 0.56

Simplifying
x = 0.56
Solution
x = {0, 0.56}

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