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Simplifying
X2 + 4x2 + 24x + 24 = 4x2 + 24x + 36
Reorder the terms:
24 + X2 + 24x + 4x2 = 4x2 + 24x + 36
Reorder the terms:
24 + X2 + 24x + 4x2 = 36 + 24x + 4x2
Add '-24x' to each side of the equation.
24 + X2 + 24x + -24x + 4x2 = 36 + 24x + -24x + 4x2
Combine like terms: 24x + -24x = 0
24 + X2 + 0 + 4x2 = 36 + 24x + -24x + 4x2
24 + X2 + 4x2 = 36 + 24x + -24x + 4x2
Combine like terms: 24x + -24x = 0
24 + X2 + 4x2 = 36 + 0 + 4x2
24 + X2 + 4x2 = 36 + 4x2
Add '-4x2' to each side of the equation.
24 + X2 + 4x2 + -4x2 = 36 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
24 + X2 + 0 = 36 + 4x2 + -4x2
24 + X2 = 36 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
24 + X2 = 36 + 0
24 + X2 = 36
Solving
24 + X2 = 36
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + X2 = 36 + -24
Combine like terms: 24 + -24 = 0
0 + X2 = 36 + -24
X2 = 36 + -24
Combine like terms: 36 + -24 = 12
X2 = 12
Simplifying
X2 = 12
Take the square root of each side:
X = {-3.464101615, 3.464101615}
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