0=(2x-208)(5x-15)

Simple and best practice solution for 0=(2x-208)(5x-15) 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 0=(2x-208)(5x-15) equation: 


Simplifying
0 = (2x + -208)(5x + -15)

Reorder the terms:
0 = (-208 + 2x)(5x + -15)

Reorder the terms:
0 = (-208 + 2x)(-15 + 5x)

Multiply (-208 + 2x) * (-15 + 5x)
0 = (-208(-15 + 5x) + 2x * (-15 + 5x))
0 = ((-15 * -208 + 5x * -208) + 2x * (-15 + 5x))
0 = ((3120 + -1040x) + 2x * (-15 + 5x))
0 = (3120 + -1040x + (-15 * 2x + 5x * 2x))
0 = (3120 + -1040x + (-30x + 10x2))

Combine like terms: -1040x + -30x = -1070x
0 = (3120 + -1070x + 10x2)

Solving
0 = 3120 + -1070x + 10x2

Solving for variable 'x'.

Combine like terms: 0 + -3120 = -3120
-3120 + 1070x + -10x2 = 3120 + -1070x + 10x2 + -3120 + 1070x + -10x2

Reorder the terms:
-3120 + 1070x + -10x2 = 3120 + -3120 + -1070x + 1070x + 10x2 + -10x2

Combine like terms: 3120 + -3120 = 0
-3120 + 1070x + -10x2 = 0 + -1070x + 1070x + 10x2 + -10x2
-3120 + 1070x + -10x2 = -1070x + 1070x + 10x2 + -10x2

Combine like terms: -1070x + 1070x = 0
-3120 + 1070x + -10x2 = 0 + 10x2 + -10x2
-3120 + 1070x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-3120 + 1070x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-312 + 107x + -1x2) = 0

Factor a trinomial.
10((-104 + x)(3 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-104 + x)' equal to zero and attempt to solve:

Simplifying
-104 + x = 0

Solving
-104 + x = 0

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

Add '104' to each side of the equation.
-104 + 104 + x = 0 + 104

Combine like terms: -104 + 104 = 0
0 + x = 0 + 104
x = 0 + 104

Combine like terms: 0 + 104 = 104
x = 104

Simplifying
x = 104

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {104, 3}

See similar equations:

| x-24=5x | | -1/6*-2/9 | | -5(x+4)-13=10+2 | | 4-8v=6-3v | | 20x-47x+24=0 | | m^6+24m^4+4m^2=0 | | F(x+4)=2x+5 | | 8x^2+41x-140=0 | | m/7=2 | | 8x^2+40x-140=0 | | 4m/7 | | x^2+2x-8=20 | | 11x-9=2x-63 | | Q+3+6p=10 | | 55x=88 | | K-9/27-7/9 | | 3n+1+n-2+2n-3=74 | | -5x-4c=0 | | 3a-4=6a+5 | | 5x*x+3x+30=0 | | 12=4+5a-a | | 3w-.5=7 | | u=sqrt(-7u+18) | | 2475*3= | | A=1/2pa | | x+2y=o | | -18=4v+2v | | -x+3=x | | -3=5p-4p | | X*XY+XY*Y=30 | | -5(3y-9)+3(2y+7)= | | -x+2=-x+3 |

Equations solver categories