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Simplifying
9x2 + -66 + 6x = 8x2 + 6x + -2
Reorder the terms:
-66 + 6x + 9x2 = 8x2 + 6x + -2
Reorder the terms:
-66 + 6x + 9x2 = -2 + 6x + 8x2
Add '-6x' to each side of the equation.
-66 + 6x + -6x + 9x2 = -2 + 6x + -6x + 8x2
Combine like terms: 6x + -6x = 0
-66 + 0 + 9x2 = -2 + 6x + -6x + 8x2
-66 + 9x2 = -2 + 6x + -6x + 8x2
Combine like terms: 6x + -6x = 0
-66 + 9x2 = -2 + 0 + 8x2
-66 + 9x2 = -2 + 8x2
Solving
-66 + 9x2 = -2 + 8x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x2' to each side of the equation.
-66 + 9x2 + -8x2 = -2 + 8x2 + -8x2
Combine like terms: 9x2 + -8x2 = 1x2
-66 + 1x2 = -2 + 8x2 + -8x2
Combine like terms: 8x2 + -8x2 = 0
-66 + 1x2 = -2 + 0
-66 + 1x2 = -2
Add '66' to each side of the equation.
-66 + 66 + 1x2 = -2 + 66
Combine like terms: -66 + 66 = 0
0 + 1x2 = -2 + 66
1x2 = -2 + 66
Combine like terms: -2 + 66 = 64
1x2 = 64
Divide each side by '1'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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