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Simplifying
49x(49x) + -100 = 0
Remove parenthesis around (49x)
49x * 49x + -100 = 0
Reorder the terms for easier multiplication:
49 * 49x * x + -100 = 0
Multiply 49 * 49
2401x * x + -100 = 0
Multiply x * x
2401x2 + -100 = 0
Reorder the terms:
-100 + 2401x2 = 0
Solving
-100 + 2401x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + 2401x2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 2401x2 = 0 + 100
2401x2 = 0 + 100
Combine like terms: 0 + 100 = 100
2401x2 = 100
Divide each side by '2401'.
x2 = 0.04164931279
Simplifying
x2 = 0.04164931279
Take the square root of each side:
x = {-0.204081633, 0.204081633}
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