=(14-2x)(10-2x)(x)

Simple and best practice solution for =(14-2x)(10-2x)(x) 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 =(14-2x)(10-2x)(x) equation: 


Simplifying
0 = (14 + -2x)(10 + -2x)(x)

Reorder the terms for easier multiplication:
0 = x(14 + -2x)(10 + -2x)

Multiply (14 + -2x) * (10 + -2x)
0 = x(14(10 + -2x) + -2x * (10 + -2x))
0 = x((10 * 14 + -2x * 14) + -2x * (10 + -2x))
0 = x((140 + -28x) + -2x * (10 + -2x))
0 = x(140 + -28x + (10 * -2x + -2x * -2x))
0 = x(140 + -28x + (-20x + 4x2))

Combine like terms: -28x + -20x = -48x
0 = x(140 + -48x + 4x2)
0 = (140 * x + -48x * x + 4x2 * x)
0 = (140x + -48x2 + 4x3)

Solving
0 = 140x + -48x2 + 4x3

Solving for variable 'x'.
Remove the zero:
-140x + 48x2 + -4x3 = 140x + -48x2 + 4x3 + -140x + 48x2 + -4x3

Reorder the terms:
-140x + 48x2 + -4x3 = 140x + -140x + -48x2 + 48x2 + 4x3 + -4x3

Combine like terms: 140x + -140x = 0
-140x + 48x2 + -4x3 = 0 + -48x2 + 48x2 + 4x3 + -4x3
-140x + 48x2 + -4x3 = -48x2 + 48x2 + 4x3 + -4x3

Combine like terms: -48x2 + 48x2 = 0
-140x + 48x2 + -4x3 = 0 + 4x3 + -4x3
-140x + 48x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-140x + 48x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-35 + 12x + -1x2) = 0

Factor a trinomial.
4x((-7 + x)(5 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-7 + x = 0

Solving
-7 + x = 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 + x = 0 + 7

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

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

Simplifying
x = 7

Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, 7, 5}

See similar equations:

| .1(.1x+.5)=-.5 | | 3(2x-5)=5(3x-2) | | (X/2)+(2/3)=(1/4) | | 9/38= | | 4n-(1/7)=(5/7) | | 38/9= | | (X/2)+(1/4)=(3/5) | | 4/16=5/20 | | 228+5x/8 | | c=8.5+6y | | 4(x-7)=3 | | 16t^2-180t=296 | | -4(3)+5y=-2 | | 1+cos(x)*cosh(x)=0 | | 2(1)+(-7y)=-54 | | 5(-4)+(-3y)=13 | | 6-x-2x^2=y | | -6(14)+6y=-42 | | x^2+4x-4=2x-1 | | b^-4/b^4 | | -3(-2)+3y=-12 | | 6x-5+7x+5= | | 3t-6t+8t-7t=-2 | | -11+13=m-9 | | 4(w^2-57)=0 | | 7x+16=24+3x | | 6m^2+10m+2=0 | | 15/8+1/9t=3 | | 5x=2x+22 | | 3u-3=2u-6 | | 3x*5x=23 | | 11r+3=31r+7 |

Equations solver categories