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Simplifying
10x2 + -64 = 36 + 6x2
Reorder the terms:
-64 + 10x2 = 36 + 6x2
Solving
-64 + 10x2 = 36 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
-64 + 10x2 + -6x2 = 36 + 6x2 + -6x2
Combine like terms: 10x2 + -6x2 = 4x2
-64 + 4x2 = 36 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
-64 + 4x2 = 36 + 0
-64 + 4x2 = 36
Add '64' to each side of the equation.
-64 + 64 + 4x2 = 36 + 64
Combine like terms: -64 + 64 = 0
0 + 4x2 = 36 + 64
4x2 = 36 + 64
Combine like terms: 36 + 64 = 100
4x2 = 100
Divide each side by '4'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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