2(x^2-30)=3(50+3x^2)

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Solution for 2(x^2-30)=3(50+3x^2) equation: 


Simplifying
2(x2 + -30) = 3(50 + 3x2)

Reorder the terms:
2(-30 + x2) = 3(50 + 3x2)
(-30 * 2 + x2 * 2) = 3(50 + 3x2)
(-60 + 2x2) = 3(50 + 3x2)
-60 + 2x2 = (50 * 3 + 3x2 * 3)
-60 + 2x2 = (150 + 9x2)

Solving
-60 + 2x2 = 150 + 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
-60 + 2x2 + -9x2 = 150 + 9x2 + -9x2

Combine like terms: 2x2 + -9x2 = -7x2
-60 + -7x2 = 150 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-60 + -7x2 = 150 + 0
-60 + -7x2 = 150

Add '60' to each side of the equation.
-60 + 60 + -7x2 = 150 + 60

Combine like terms: -60 + 60 = 0
0 + -7x2 = 150 + 60
-7x2 = 150 + 60

Combine like terms: 150 + 60 = 210
-7x2 = 210

Divide each side by '-7'.
x2 = -30

Simplifying
x2 = -30

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

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

The solution to this equation could not be determined.

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