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Simplifying
5x * 5x + -7 = 0
Reorder the terms for easier multiplication:
5 * 5x * x + -7 = 0
Multiply 5 * 5
25x * x + -7 = 0
Multiply x * x
25x2 + -7 = 0
Reorder the terms:
-7 + 25x2 = 0
Solving
-7 + 25x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 25x2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 25x2 = 0 + 7
25x2 = 0 + 7
Combine like terms: 0 + 7 = 7
25x2 = 7
Divide each side by '25'.
x2 = 0.28
Simplifying
x2 = 0.28
Take the square root of each side:
x = {-0.529150262, 0.529150262}
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