How do you solve \frac { 1} { 2} x + 2x \cdot ( x - 4) = x - 1?

1 Answer
Apr 24, 2017

x=-((-4.5)+-sqrt(28.25))/4

Explanation:

Distribute the 2x:

(1/2)x + 2x^2-4x=x-1

Combine like terms on the left side:

2x^2-3.5x=x-1

Move everything to the left side:

2x^2-4.5x-1=0

Use quadratic formula:

x=-((-4.5)+-sqrt((-4.5)^2-4(2)(-1)))/(2(2))

Solve inside the square root and denominator:

x=-((-4.5)+-sqrt(28.25))/4