9x^2-25=30x-50+25

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Solution for 9x^2-25=30x-50+25 equation: 


Simplifying
9x2 + -25 = 30x + -50 + 25

Reorder the terms:
-25 + 9x2 = 30x + -50 + 25

Reorder the terms:
-25 + 9x2 = -50 + 25 + 30x

Combine like terms: -50 + 25 = -25
-25 + 9x2 = -25 + 30x

Add '25' to each side of the equation.
-25 + 25 + 9x2 = -25 + 25 + 30x

Combine like terms: -25 + 25 = 0
0 + 9x2 = -25 + 25 + 30x
9x2 = -25 + 25 + 30x

Combine like terms: -25 + 25 = 0
9x2 = 0 + 30x
9x2 = 30x

Solving
9x2 = 30x

Solving for variable 'x'.

Reorder the terms:
-30x + 9x2 = 30x + -30x

Combine like terms: 30x + -30x = 0
-30x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-10 + 3x) = 0

Ignore the factor 3.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-10 + 3x)' equal to zero and attempt to solve:

Simplifying
-10 + 3x = 0

Solving
-10 + 3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + 3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 0 + 10
3x = 0 + 10

Combine like terms: 0 + 10 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {0, 3.333333333}

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