60=(10-2x)(14-2x)

Simple and best practice solution for 60=(10-2x)(14-2x) 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 60=(10-2x)(14-2x) equation: 


Simplifying
60 = (10 + -2x)(14 + -2x)

Multiply (10 + -2x) * (14 + -2x)
60 = (10(14 + -2x) + -2x * (14 + -2x))
60 = ((14 * 10 + -2x * 10) + -2x * (14 + -2x))
60 = ((140 + -20x) + -2x * (14 + -2x))
60 = (140 + -20x + (14 * -2x + -2x * -2x))
60 = (140 + -20x + (-28x + 4x2))

Combine like terms: -20x + -28x = -48x
60 = (140 + -48x + 4x2)

Solving
60 = 140 + -48x + 4x2

Solving for variable 'x'.

Combine like terms: 60 + -140 = -80
-80 + 48x + -4x2 = 140 + -48x + 4x2 + -140 + 48x + -4x2

Reorder the terms:
-80 + 48x + -4x2 = 140 + -140 + -48x + 48x + 4x2 + -4x2

Combine like terms: 140 + -140 = 0
-80 + 48x + -4x2 = 0 + -48x + 48x + 4x2 + -4x2
-80 + 48x + -4x2 = -48x + 48x + 4x2 + -4x2

Combine like terms: -48x + 48x = 0
-80 + 48x + -4x2 = 0 + 4x2 + -4x2
-80 + 48x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-80 + 48x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + 12x + -1x2) = 0

Factor a trinomial.
4((-10 + x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {10, 2}

See similar equations:

| (0.4)(x)=0.15 | | (7-4)a=13 | | 2x^2=x^2+x | | 12-(3m+3)=2+4m-14 | | x^4-4x^3-16x^2+64x=0 | | -95.25+7.25=x | | r+45/8-8/5r | | 19-3(2x-1)=7fraction | | 8n-5+2n=2(5n-5)+5 | | 47-5x=13x+17 | | 2x+5x=6x-4 | | 7+8x=-21 | | 2v=-18 | | 14/5x=56 | | 16a^3b^5-12a^2b^8=0 | | 2h+2=-3h+7 | | 6b=2 | | 2p+10/2=2 | | 0.25(n+12)+0.50n=8.25 | | f+6=-2 | | -4+4y=2y+2 | | 4(-4-5)=-3-5(1+3n) | | 3(-1)(-2)= | | 60+42.95x=30+55.95x | | 1/7x=-14 | | -16n+20=-3-5+15n | | d+4=3d+6 | | 2x-3+x-3=2x-1+2x-1+2x | | 3x+5x=7x-7 | | -11=5x+6y | | 4-0.5x=6 | | 2x+4y+2z=16 |

Equations solver categories