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Simplifying
4x2 + 2x + 4 = 2x + 8
Reorder the terms:
4 + 2x + 4x2 = 2x + 8
Reorder the terms:
4 + 2x + 4x2 = 8 + 2x
Add '-2x' to each side of the equation.
4 + 2x + -2x + 4x2 = 8 + 2x + -2x
Combine like terms: 2x + -2x = 0
4 + 0 + 4x2 = 8 + 2x + -2x
4 + 4x2 = 8 + 2x + -2x
Combine like terms: 2x + -2x = 0
4 + 4x2 = 8 + 0
4 + 4x2 = 8
Solving
4 + 4x2 = 8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 4x2 = 8 + -4
Combine like terms: 4 + -4 = 0
0 + 4x2 = 8 + -4
4x2 = 8 + -4
Combine like terms: 8 + -4 = 4
4x2 = 4
Divide each side by '4'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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