5(x^2-3)=10(x^2+11)

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Solution for 5(x^2-3)=10(x^2+11) equation:


Simplifying
5(x2 + -3) = 10(x2 + 11)

Reorder the terms:
5(-3 + x2) = 10(x2 + 11)
(-3 * 5 + x2 * 5) = 10(x2 + 11)
(-15 + 5x2) = 10(x2 + 11)

Reorder the terms:
-15 + 5x2 = 10(11 + x2)
-15 + 5x2 = (11 * 10 + x2 * 10)
-15 + 5x2 = (110 + 10x2)

Solving
-15 + 5x2 = 110 + 10x2

Solving for variable 'x'.

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

Add '-10x2' to each side of the equation.
-15 + 5x2 + -10x2 = 110 + 10x2 + -10x2

Combine like terms: 5x2 + -10x2 = -5x2
-15 + -5x2 = 110 + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-15 + -5x2 = 110 + 0
-15 + -5x2 = 110

Add '15' to each side of the equation.
-15 + 15 + -5x2 = 110 + 15

Combine like terms: -15 + 15 = 0
0 + -5x2 = 110 + 15
-5x2 = 110 + 15

Combine like terms: 110 + 15 = 125
-5x2 = 125

Divide each side by '-5'.
x2 = -25

Simplifying
x2 = -25

Reorder the terms:
25 + x2 = -25 + 25

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

The solution to this equation could not be determined.

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