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Simplifying
4x2 + 9 = 100
Reorder the terms:
9 + 4x2 = 100
Solving
9 + 4x2 = 100
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 4x2 = 100 + -9
Combine like terms: 9 + -9 = 0
0 + 4x2 = 100 + -9
4x2 = 100 + -9
Combine like terms: 100 + -9 = 91
4x2 = 91
Divide each side by '4'.
x2 = 22.75
Simplifying
x2 = 22.75
Take the square root of each side:
x = {-4.769696007, 4.769696007}
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