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Simplifying
25x2 + -65 = 175 + 10x2
Reorder the terms:
-65 + 25x2 = 175 + 10x2
Solving
-65 + 25x2 = 175 + 10x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x2' to each side of the equation.
-65 + 25x2 + -10x2 = 175 + 10x2 + -10x2
Combine like terms: 25x2 + -10x2 = 15x2
-65 + 15x2 = 175 + 10x2 + -10x2
Combine like terms: 10x2 + -10x2 = 0
-65 + 15x2 = 175 + 0
-65 + 15x2 = 175
Add '65' to each side of the equation.
-65 + 65 + 15x2 = 175 + 65
Combine like terms: -65 + 65 = 0
0 + 15x2 = 175 + 65
15x2 = 175 + 65
Combine like terms: 175 + 65 = 240
15x2 = 240
Divide each side by '15'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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