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Simplifying
4(9x2 + -25) = 0
Reorder the terms:
4(-25 + 9x2) = 0
(-25 * 4 + 9x2 * 4) = 0
(-100 + 36x2) = 0
Solving
-100 + 36x2 = 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 + 36x2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 36x2 = 0 + 100
36x2 = 0 + 100
Combine like terms: 0 + 100 = 100
36x2 = 100
Divide each side by '36'.
x2 = 2.777777778
Simplifying
x2 = 2.777777778
Take the square root of each side:
x = {-1.666666667, 1.666666667}
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