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Simplifying
x(2x + -4) + 4 = 5 + -4x
Reorder the terms:
x(-4 + 2x) + 4 = 5 + -4x
(-4 * x + 2x * x) + 4 = 5 + -4x
(-4x + 2x2) + 4 = 5 + -4x
Reorder the terms:
4 + -4x + 2x2 = 5 + -4x
Add '4x' to each side of the equation.
4 + -4x + 4x + 2x2 = 5 + -4x + 4x
Combine like terms: -4x + 4x = 0
4 + 0 + 2x2 = 5 + -4x + 4x
4 + 2x2 = 5 + -4x + 4x
Combine like terms: -4x + 4x = 0
4 + 2x2 = 5 + 0
4 + 2x2 = 5
Solving
4 + 2x2 = 5
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 + 2x2 = 5 + -4
Combine like terms: 4 + -4 = 0
0 + 2x2 = 5 + -4
2x2 = 5 + -4
Combine like terms: 5 + -4 = 1
2x2 = 1
Divide each side by '2'.
x2 = 0.5
Simplifying
x2 = 0.5
Take the square root of each side:
x = {-0.707106781, 0.707106781}
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