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Simplifying
7x2 + -25 = 18 + -2x2
Reorder the terms:
-25 + 7x2 = 18 + -2x2
Solving
-25 + 7x2 = 18 + -2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x2' to each side of the equation.
-25 + 7x2 + 2x2 = 18 + -2x2 + 2x2
Combine like terms: 7x2 + 2x2 = 9x2
-25 + 9x2 = 18 + -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
-25 + 9x2 = 18 + 0
-25 + 9x2 = 18
Add '25' to each side of the equation.
-25 + 25 + 9x2 = 18 + 25
Combine like terms: -25 + 25 = 0
0 + 9x2 = 18 + 25
9x2 = 18 + 25
Combine like terms: 18 + 25 = 43
9x2 = 43
Divide each side by '9'.
x2 = 4.777777778
Simplifying
x2 = 4.777777778
Take the square root of each side:
x = {-2.185812841, 2.185812841}
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