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Simplifying
7x2 + -36 = 5x2
Reorder the terms:
-36 + 7x2 = 5x2
Solving
-36 + 7x2 = 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
-36 + 7x2 + -5x2 = 5x2 + -5x2
Combine like terms: 7x2 + -5x2 = 2x2
-36 + 2x2 = 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
-36 + 2x2 = 0
Add '36' to each side of the equation.
-36 + 36 + 2x2 = 0 + 36
Combine like terms: -36 + 36 = 0
0 + 2x2 = 0 + 36
2x2 = 0 + 36
Combine like terms: 0 + 36 = 36
2x2 = 36
Divide each side by '2'.
x2 = 18
Simplifying
x2 = 18
Take the square root of each side:
x = {-4.242640687, 4.242640687}
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