(2x)*(4x+5)=250

Simple and best practice solution for (2x)*(4x+5)=250 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 (2x)*(4x+5)=250 equation: 


Simplifying
(2x)(4x + 5) = 250

Remove parenthesis around (2x)
2x(4x + 5) = 250

Reorder the terms:
2x(5 + 4x) = 250
(5 * 2x + 4x * 2x) = 250
(10x + 8x2) = 250

Solving
10x + 8x2 = 250

Solving for variable 'x'.

Reorder the terms:
-250 + 10x + 8x2 = 250 + -250

Combine like terms: 250 + -250 = 0
-250 + 10x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-125 + 5x + 4x2) = 0

Factor a trinomial.
2((-25 + -4x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-25 + -4x)' equal to zero and attempt to solve:

Simplifying
-25 + -4x = 0

Solving
-25 + -4x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -4x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -4x = 0 + 25
-4x = 0 + 25

Combine like terms: 0 + 25 = 25
-4x = 25

Divide each side by '-4'.
x = -6.25

Simplifying
x = -6.25

Subproblem 2
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 = {-6.25, 5}

See similar equations:

| -3(x+7)=2x-36 | | 17/24=1/x | | 8x+1=-7x^2 | | 9+6t=10t-7 | | Y=7x^2+x+5 | | 20+7n=8+n | | x*0.029+.30=x*0.034 | | 7+6x=43 | | 5b-2b=42 | | 5m+7=72 | | x*0.029+.30=x*0.032 | | x*0.029+.30=x*0.32 | | dy/dx=5*(x^3)x2y | | 3c+31=58 | | 5y-70=50 | | 5x+9=5+3 | | 4+7(x-11)=38 | | 17.50d+.25m=25.50d+.15m | | y/2-12=12 | | sin(x)=5/14 | | 6b+24=6b+6(b-4) | | 5x-31=54 | | 5+1.5squared= | | 6x+5x+70=180 | | .35p=4.9 | | x+(x*.15)=4.02 | | -4+q=-2 | | X+5.3=8.85 | | 9x+200=y | | 3(-1-7x)=-4(2x+2) | | 5(0)-2y=-10 | | -40-6n=-3(n+5)-8n |

Equations solver categories