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Simplifying
8x(x + 2) + -2 = 2(8x + -1)
Reorder the terms:
8x(2 + x) + -2 = 2(8x + -1)
(2 * 8x + x * 8x) + -2 = 2(8x + -1)
(16x + 8x2) + -2 = 2(8x + -1)
Reorder the terms:
-2 + 16x + 8x2 = 2(8x + -1)
Reorder the terms:
-2 + 16x + 8x2 = 2(-1 + 8x)
-2 + 16x + 8x2 = (-1 * 2 + 8x * 2)
-2 + 16x + 8x2 = (-2 + 16x)
Add '2' to each side of the equation.
-2 + 16x + 2 + 8x2 = -2 + 2 + 16x
Reorder the terms:
-2 + 2 + 16x + 8x2 = -2 + 2 + 16x
Combine like terms: -2 + 2 = 0
0 + 16x + 8x2 = -2 + 2 + 16x
16x + 8x2 = -2 + 2 + 16x
Combine like terms: -2 + 2 = 0
16x + 8x2 = 0 + 16x
16x + 8x2 = 16x
Add '-16x' to each side of the equation.
16x + -16x + 8x2 = 16x + -16x
Combine like terms: 16x + -16x = 0
0 + 8x2 = 16x + -16x
8x2 = 16x + -16x
Combine like terms: 16x + -16x = 0
8x2 = 0
Solving
8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '8'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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