-8x+14=-2x(4x-7)

Simple and best practice solution for -8x+14=-2x(4x-7) 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 -8x+14=-2x(4x-7) equation: 


Simplifying
-8x + 14 = -2x(4x + -7)

Reorder the terms:
14 + -8x = -2x(4x + -7)

Reorder the terms:
14 + -8x = -2x(-7 + 4x)
14 + -8x = (-7 * -2x + 4x * -2x)
14 + -8x = (14x + -8x2)

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

Solving for variable 'x'.

Combine like terms: -8x + -14x = -22x
14 + -22x + 8x2 = 14x + -8x2 + -14x + 8x2

Reorder the terms:
14 + -22x + 8x2 = 14x + -14x + -8x2 + 8x2

Combine like terms: 14x + -14x = 0
14 + -22x + 8x2 = 0 + -8x2 + 8x2
14 + -22x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
14 + -22x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -11x + 4x2) = 0

Factor a trinomial.
2((1 + -1x)(7 + -4x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {1, 1.75}

See similar equations:

| -2.06d+18=-10 | | 3(4w+10)= | | x^3-6*x^2+4*x=0 | | 3x^2-3/4x=1/2 | | xy-3=y | | 91m^2+m-2= | | 4x^2/5*25/x^3 | | cosx*secx=1 | | 2sin^2(x)-5sinx+2=0 | | 2/3=10/x | | 2(4w-3)-8=4+2m | | 11y/18×11/2= | | 11y/18×11/2 | | -8w+4=27 | | 5m+7-3n=19 | | x^3-6*x^2-11*x+72=0 | | f=fm(9n-1) | | y=4-2[-2] | | y^4+2y^2+2=0 | | 55=1/2(x-40) | | 4-2[-2]=y | | -35=-7/5w | | 6/24=x/9 | | 27=1/2(135-x) | | 8-1/4x=8 | | 5/x=9/27 | | 10v-8v=16 | | -8x-7+5=29 | | 2a^2+4a-16= | | 4/x-2*(3x-6) | | 5n-4=74 | | 2(2x+6)=x(x) |

Equations solver categories