2x^2-26=-7x^2+10

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Solution for 2x^2-26=-7x^2+10 equation: 


Simplifying
2x2 + -26 = -7x2 + 10

Reorder the terms:
-26 + 2x2 = -7x2 + 10

Reorder the terms:
-26 + 2x2 = 10 + -7x2

Solving
-26 + 2x2 = 10 + -7x2

Solving for variable 'x'.

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

Add '7x2' to each side of the equation.
-26 + 2x2 + 7x2 = 10 + -7x2 + 7x2

Combine like terms: 2x2 + 7x2 = 9x2
-26 + 9x2 = 10 + -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
-26 + 9x2 = 10 + 0
-26 + 9x2 = 10

Add '26' to each side of the equation.
-26 + 26 + 9x2 = 10 + 26

Combine like terms: -26 + 26 = 0
0 + 9x2 = 10 + 26
9x2 = 10 + 26

Combine like terms: 10 + 26 = 36
9x2 = 36

Divide each side by '9'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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