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Simplifying
4x2 + -3 = x2 + 24
Reorder the terms:
-3 + 4x2 = x2 + 24
Reorder the terms:
-3 + 4x2 = 24 + x2
Solving
-3 + 4x2 = 24 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
-3 + 4x2 + -1x2 = 24 + x2 + -1x2
Combine like terms: 4x2 + -1x2 = 3x2
-3 + 3x2 = 24 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-3 + 3x2 = 24 + 0
-3 + 3x2 = 24
Add '3' to each side of the equation.
-3 + 3 + 3x2 = 24 + 3
Combine like terms: -3 + 3 = 0
0 + 3x2 = 24 + 3
3x2 = 24 + 3
Combine like terms: 24 + 3 = 27
3x2 = 27
Divide each side by '3'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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