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Simplifying
3x2 + -10 + 5x2 + 3 = 25
Reorder the terms:
-10 + 3 + 3x2 + 5x2 = 25
Combine like terms: -10 + 3 = -7
-7 + 3x2 + 5x2 = 25
Combine like terms: 3x2 + 5x2 = 8x2
-7 + 8x2 = 25
Solving
-7 + 8x2 = 25
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 + 8x2 = 25 + 7
Combine like terms: -7 + 7 = 0
0 + 8x2 = 25 + 7
8x2 = 25 + 7
Combine like terms: 25 + 7 = 32
8x2 = 32
Divide each side by '8'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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