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Simplifying
-100 = -4x2
Solving
-100 = -4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x2' to each side of the equation.
-100 + 4x2 = -4x2 + 4x2
Combine like terms: -4x2 + 4x2 = 0
-100 + 4x2 = 0
Add '100' to each side of the equation.
-100 + 100 + 4x2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 4x2 = 0 + 100
4x2 = 0 + 100
Combine like terms: 0 + 100 = 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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