15000=(120+2X)(70+2X)

Simple and best practice solution for 15000=(120+2X)(70+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 15000=(120+2X)(70+2X) equation: 


Simplifying
15000 = (120 + 2X)(70 + 2X)

Multiply (120 + 2X) * (70 + 2X)
15000 = (120(70 + 2X) + 2X * (70 + 2X))
15000 = ((70 * 120 + 2X * 120) + 2X * (70 + 2X))
15000 = ((8400 + 240X) + 2X * (70 + 2X))
15000 = (8400 + 240X + (70 * 2X + 2X * 2X))
15000 = (8400 + 240X + (140X + 4X2))

Combine like terms: 240X + 140X = 380X
15000 = (8400 + 380X + 4X2)

Solving
15000 = 8400 + 380X + 4X2

Solving for variable 'X'.

Combine like terms: 15000 + -8400 = 6600
6600 + -380X + -4X2 = 8400 + 380X + 4X2 + -8400 + -380X + -4X2

Reorder the terms:
6600 + -380X + -4X2 = 8400 + -8400 + 380X + -380X + 4X2 + -4X2

Combine like terms: 8400 + -8400 = 0
6600 + -380X + -4X2 = 0 + 380X + -380X + 4X2 + -4X2
6600 + -380X + -4X2 = 380X + -380X + 4X2 + -4X2

Combine like terms: 380X + -380X = 0
6600 + -380X + -4X2 = 0 + 4X2 + -4X2
6600 + -380X + -4X2 = 4X2 + -4X2

Combine like terms: 4X2 + -4X2 = 0
6600 + -380X + -4X2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1650 + -95X + -1X2) = 0

Factor a trinomial.
4((15 + -1X)(110 + X)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(15 + -1X)' equal to zero and attempt to solve:

Simplifying
15 + -1X = 0

Solving
15 + -1X = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1X = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1X = 0 + -15
-1X = 0 + -15

Combine like terms: 0 + -15 = -15
-1X = -15

Divide each side by '-1'.
X = 15

Simplifying
X = 15

Subproblem 2
Set the factor '(110 + X)' equal to zero and attempt to solve:

Simplifying
110 + X = 0

Solving
110 + X = 0

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

Add '-110' to each side of the equation.
110 + -110 + X = 0 + -110

Combine like terms: 110 + -110 = 0
0 + X = 0 + -110
X = 0 + -110

Combine like terms: 0 + -110 = -110
X = -110

Simplifying
X = -110
Solution
X = {15, -110}

See similar equations:

| cx+d=69 | | 20.5=a-3.5 | | cx+d=23 | | 13y+9(3x+5y)= | | 20.5=a-35 | | 10-1.66-2.75-3.83= | | 9x-7x+4x-x+4x-3x= | | 49a^2-4x^2=0 | | 5p+8=2(3p+1) | | 9y+8+11y+5+5y+10+8y+7=360 | | 8+6a=-21+25 | | 0.3n=4 | | -0.4s=-0.48 | | n+7=50 | | -5(m+-12)=25 | | 9x+5=x+29 | | -0.4w=-0.96 | | 12x+5=6x+7 | | -6y=3x-2 | | 4x-5=2(2k-3)+1 | | 7-9x-3=-24+4x-11 | | 0.10(y-9)+0.12y=0.6y-0.07(30) | | 12.1-q=8 | | (1-7w)(3+w)= | | -0.4s=-0.96 | | 5x-13x=-6-10 | | a+16=5 | | 2cos^2x=1+cosx | | 9x+6-1x=4x-12 | | 3(4d+2)=d+28 | | (y-8)-(y+5)=5y | | 4y+12=16y+12 |

Equations solver categories