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Simplifying
6x + 2x2 + -6 = 6x + x2 + 30
Reorder the terms:
-6 + 6x + 2x2 = 6x + x2 + 30
Reorder the terms:
-6 + 6x + 2x2 = 30 + 6x + x2
Add '-6x' to each side of the equation.
-6 + 6x + -6x + 2x2 = 30 + 6x + -6x + x2
Combine like terms: 6x + -6x = 0
-6 + 0 + 2x2 = 30 + 6x + -6x + x2
-6 + 2x2 = 30 + 6x + -6x + x2
Combine like terms: 6x + -6x = 0
-6 + 2x2 = 30 + 0 + x2
-6 + 2x2 = 30 + x2
Solving
-6 + 2x2 = 30 + 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.
-6 + 2x2 + -1x2 = 30 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
-6 + 1x2 = 30 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-6 + 1x2 = 30 + 0
-6 + 1x2 = 30
Add '6' to each side of the equation.
-6 + 6 + 1x2 = 30 + 6
Combine like terms: -6 + 6 = 0
0 + 1x2 = 30 + 6
1x2 = 30 + 6
Combine like terms: 30 + 6 = 36
1x2 = 36
Divide each side by '1'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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