2x(x-4)=-14x+8

Simple and best practice solution for 2x(x-4)=-14x+8 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 2x(x-4)=-14x+8 equation: 


Simplifying
2x(x + -4) = -14x + 8

Reorder the terms:
2x(-4 + x) = -14x + 8
(-4 * 2x + x * 2x) = -14x + 8
(-8x + 2x2) = -14x + 8

Reorder the terms:
-8x + 2x2 = 8 + -14x

Solving
-8x + 2x2 = 8 + -14x

Solving for variable 'x'.

Reorder the terms:
-8 + -8x + 14x + 2x2 = 8 + -14x + -8 + 14x

Combine like terms: -8x + 14x = 6x
-8 + 6x + 2x2 = 8 + -14x + -8 + 14x

Reorder the terms:
-8 + 6x + 2x2 = 8 + -8 + -14x + 14x

Combine like terms: 8 + -8 = 0
-8 + 6x + 2x2 = 0 + -14x + 14x
-8 + 6x + 2x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
-8 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 3x + x2) = 0

Factor a trinomial.
2((-4 + -1x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-4, 1}

See similar equations:

| 6x+27+3x+54=180 | | -17-5p=5(2+4p)+2p | | -58.75-x/8=7x/8+191.25 | | 14b-13b+3b=20 | | u(6u-7)=0 | | 4ln(7x)=16 | | -17-5p=5(2+4)+2p | | 3x^3-2x^2-12x+18=0 | | 6w+5w-9w=12 | | 5y(y+2)=0 | | 2tanx+7=3 | | 6+2x-5=6-3(2x-1) | | 10h-8h+h-3h+h=7 | | 5+3(x+4)=-(2x-1)-9 | | log[4](13*7)= | | 5r^2-10r-15=0 | | 2x^3+13x=8x^2 | | -17-55p=5(2+4p)+2p | | 20-2=38 | | -3(x-4)+2xy=xy-5x+xy-6 | | 2w^2-22w+48=0 | | 5(2)-2=38 | | (3g+2)(9g+5)=0 | | 5(10)-2=38 | | 300+12=960 | | 6-(x+9)=3-4x | | 10x-7y=-42 | | (d-6)(d-2)=0 | | 3(8)+7=25 | | 8(x+1)+3=7x+18 | | 3x-5(x+2)=12x+4 | | (v-7)(v-6)=0 |

Equations solver categories