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Simplifying
7x2 + -8 = 4x2 + 292
Reorder the terms:
-8 + 7x2 = 4x2 + 292
Reorder the terms:
-8 + 7x2 = 292 + 4x2
Solving
-8 + 7x2 = 292 + 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.
-8 + 7x2 + -4x2 = 292 + 4x2 + -4x2
Combine like terms: 7x2 + -4x2 = 3x2
-8 + 3x2 = 292 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-8 + 3x2 = 292 + 0
-8 + 3x2 = 292
Add '8' to each side of the equation.
-8 + 8 + 3x2 = 292 + 8
Combine like terms: -8 + 8 = 0
0 + 3x2 = 292 + 8
3x2 = 292 + 8
Combine like terms: 292 + 8 = 300
3x2 = 300
Divide each side by '3'.
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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