(4x-8)(x-8)=220

Simple and best practice solution for (4x-8)(x-8)=220 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (4x-8)(x-8)=220 equation: 


Simplifying
(4x + -8)(x + -8) = 220

Reorder the terms:
(-8 + 4x)(x + -8) = 220

Reorder the terms:
(-8 + 4x)(-8 + x) = 220

Multiply (-8 + 4x) * (-8 + x)
(-8(-8 + x) + 4x * (-8 + x)) = 220
((-8 * -8 + x * -8) + 4x * (-8 + x)) = 220
((64 + -8x) + 4x * (-8 + x)) = 220
(64 + -8x + (-8 * 4x + x * 4x)) = 220
(64 + -8x + (-32x + 4x2)) = 220

Combine like terms: -8x + -32x = -40x
(64 + -40x + 4x2) = 220

Solving
64 + -40x + 4x2 = 220

Solving for variable 'x'.

Reorder the terms:
64 + -220 + -40x + 4x2 = 220 + -220

Combine like terms: 64 + -220 = -156
-156 + -40x + 4x2 = 220 + -220

Combine like terms: 220 + -220 = 0
-156 + -40x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-39 + -10x + x2) = 0

Factor a trinomial.
4((-3 + -1x)(13 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-3, 13}

See similar equations:

| 2=V+9 | | V^2+24v-52=0 | | 7-5(x-2)+2x=17-5 | | 4x^2-4x-3x=0 | | 2.5/10 | | 12x+68=105 | | (4x-2)=(3x+3) | | 795w=95+28s | | (10p-15)-(2k-2)=(2k-2)-(2p+3) | | W=95+28s | | B=qs+qfors | | (5b-8)-3(3b-5)= | | 86+f=-123 | | 1.5x+y=40 | | 8x^2+14x+29=0 | | 3-4x=(6x+5) | | 12-8i/-4i | | V/3-14=20 | | y=(3x-4)(x-5) | | 11x^2-1=6x^2-2 | | 2(5a+10)-3(6x-y)= | | 2x^2=17x-35 | | 7x+4y-3(6x-y)= | | 56=6x | | 11+5x=3x-3 | | -6+7x+10-14x= | | -9.8t+3.2t=h | | -1-2x-y= | | -9x+12=-x+18 | | 7q^2-3q/2q | | x+y+56=6x | | Kover-3-11=-20 |

Equations solver categories