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Simplifying
5x2 + -25 = 4x2 + 24
Reorder the terms:
-25 + 5x2 = 4x2 + 24
Reorder the terms:
-25 + 5x2 = 24 + 4x2
Solving
-25 + 5x2 = 24 + 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 = 24 + 4x2 + -4x2
Combine like terms: 5x2 + -4x2 = 1x2
-25 + 1x2 = 24 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-25 + 1x2 = 24 + 0
-25 + 1x2 = 24
Add '25' to each side of the equation.
-25 + 25 + 1x2 = 24 + 25
Combine like terms: -25 + 25 = 0
0 + 1x2 = 24 + 25
1x2 = 24 + 25
Combine like terms: 24 + 25 = 49
1x2 = 49
Divide each side by '1'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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