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#