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Simplifying
100 = (3x + x) * x
Combine like terms: 3x + x = 4x
100 = (4x) * x
Remove parenthesis around (4x)
100 = 4x * x
Multiply x * x
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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