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Simplifying
X2 + 5x + -30 = 5x + 6
Reorder the terms:
-30 + X2 + 5x = 5x + 6
Reorder the terms:
-30 + X2 + 5x = 6 + 5x
Add '-5x' to each side of the equation.
-30 + X2 + 5x + -5x = 6 + 5x + -5x
Combine like terms: 5x + -5x = 0
-30 + X2 + 0 = 6 + 5x + -5x
-30 + X2 = 6 + 5x + -5x
Combine like terms: 5x + -5x = 0
-30 + X2 = 6 + 0
-30 + X2 = 6
Solving
-30 + X2 = 6
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + 30 + X2 = 6 + 30
Combine like terms: -30 + 30 = 0
0 + X2 = 6 + 30
X2 = 6 + 30
Combine like terms: 6 + 30 = 36
X2 = 36
Simplifying
X2 = 36
Take the square root of each side:
X = {-6, 6}
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