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Simplifying
6x2 + -7 = 4x2 + 25
Reorder the terms:
-7 + 6x2 = 4x2 + 25
Reorder the terms:
-7 + 6x2 = 25 + 4x2
Solving
-7 + 6x2 = 25 + 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.
-7 + 6x2 + -4x2 = 25 + 4x2 + -4x2
Combine like terms: 6x2 + -4x2 = 2x2
-7 + 2x2 = 25 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-7 + 2x2 = 25 + 0
-7 + 2x2 = 25
Add '7' to each side of the equation.
-7 + 7 + 2x2 = 25 + 7
Combine like terms: -7 + 7 = 0
0 + 2x2 = 25 + 7
2x2 = 25 + 7
Combine like terms: 25 + 7 = 32
2x2 = 32
Divide each side by '2'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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