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Simplifying
5x2 + -25 = 4x2 + 75
Reorder the terms:
-25 + 5x2 = 4x2 + 75
Reorder the terms:
-25 + 5x2 = 75 + 4x2
Solving
-25 + 5x2 = 75 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
-25 + 5x2 + -4x2 = 75 + 4x2 + -4x2
Combine like terms: 5x2 + -4x2 = 1x2
-25 + 1x2 = 75 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-25 + 1x2 = 75 + 0
-25 + 1x2 = 75
Add '25' to each side of the equation.
-25 + 25 + 1x2 = 75 + 25
Combine like terms: -25 + 25 = 0
0 + 1x2 = 75 + 25
1x2 = 75 + 25
Combine like terms: 75 + 25 = 100
1x2 = 100
Divide each side by '1'.
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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