(37.5+10x)-(-0.5x+20x)=0.5(x-5)(x-15)

Simple and best practice solution for (37.5+10x)-(-0.5x+20x)=0.5(x-5)(x-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 (37.5+10x)-(-0.5x+20x)=0.5(x-5)(x-15) equation: 


Simplifying
(37.5 + 10x) + -1(-0.5x + 20x) = 0.5(x + -5)(x + -15)

Remove parenthesis around (37.5 + 10x)
37.5 + 10x + -1(-0.5x + 20x) = 0.5(x + -5)(x + -15)

Combine like terms: -0.5x + 20x = 19.5x
37.5 + 10x + -1(19.5x) = 0.5(x + -5)(x + -15)

Remove parenthesis around (19.5x)
37.5 + 10x + -1 * 19.5x = 0.5(x + -5)(x + -15)

Multiply -1 * 19.5
37.5 + 10x + -19.5x = 0.5(x + -5)(x + -15)

Combine like terms: 10x + -19.5x = -9.5x
37.5 + -9.5x = 0.5(x + -5)(x + -15)

Reorder the terms:
37.5 + -9.5x = 0.5(-5 + x)(x + -15)

Reorder the terms:
37.5 + -9.5x = 0.5(-5 + x)(-15 + x)

Multiply (-5 + x) * (-15 + x)
37.5 + -9.5x = 0.5(-5(-15 + x) + x(-15 + x))
37.5 + -9.5x = 0.5((-15 * -5 + x * -5) + x(-15 + x))
37.5 + -9.5x = 0.5((75 + -5x) + x(-15 + x))
37.5 + -9.5x = 0.5(75 + -5x + (-15 * x + x * x))
37.5 + -9.5x = 0.5(75 + -5x + (-15x + x2))

Combine like terms: -5x + -15x = -20x
37.5 + -9.5x = 0.5(75 + -20x + x2)
37.5 + -9.5x = (75 * 0.5 + -20x * 0.5 + x2 * 0.5)
37.5 + -9.5x = (37.5 + -10x + 0.5x2)

Add '-37.5' to each side of the equation.
37.5 + -37.5 + -9.5x = 37.5 + -10x + -37.5 + 0.5x2

Combine like terms: 37.5 + -37.5 = 0.0
0.0 + -9.5x = 37.5 + -10x + -37.5 + 0.5x2
-9.5x = 37.5 + -10x + -37.5 + 0.5x2

Reorder the terms:
-9.5x = 37.5 + -37.5 + -10x + 0.5x2

Combine like terms: 37.5 + -37.5 = 0.0
-9.5x = 0.0 + -10x + 0.5x2
-9.5x = -10x + 0.5x2

Solving
-9.5x = -10x + 0.5x2

Solving for variable 'x'.

Combine like terms: -9.5x + 10x = 0.5x
0.5x + -0.5x2 = -10x + 0.5x2 + 10x + -0.5x2

Reorder the terms:
0.5x + -0.5x2 = -10x + 10x + 0.5x2 + -0.5x2

Combine like terms: -10x + 10x = 0
0.5x + -0.5x2 = 0 + 0.5x2 + -0.5x2
0.5x + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
0.5x + -0.5x2 = 0.0

The solution to this equation could not be determined.

See similar equations:

| x-6=14-2x | | Tn=7n+11 | | 6545=-0.35x^2+39.43x+5619.85 | | 0.5(x-5)=15-x | | 5x-3(6x-8)=154 | | 9=5(4)-1 | | 3(x-2)+1=2(x+1)+x | | 15=-0.056x^2+0.422x+33.935 | | p=q-8p | | 2/x^2-4/x^1/4 | | 12+8(x-9)=4(x+3)+4x | | 12z^2-5z-2= | | f(x)=ln(5x)*dx | | f(x)=ln(5x)de | | 7x-2(3x-7)=8+5(3-x) | | 3inx/2= | | 510x-x^2=0 | | b^2+3b-36=0 | | 3(3y-1)/6y | | 3inx= | | 2x(5+13)=36 | | x^2-36x+155=0 | | 2x(5+13)=0 | | 2(5-4x)+6x-8=3(8-3x)+8 | | (15y+2)=(6x-8) | | (2x+20)+2x=180 | | 44x+60=14x+120 | | (3x+2)*2-6x=4 | | 7(x-4)=16+32 | | x=10/(1.618*x) | | 7(x-6)=35 | | 15x^3•3x^6/9x^5 |

Equations solver categories