20x^2+4x-3=(10x-3)

Simple and best practice solution for 20x^2+4x-3=(10x-3) 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 20x^2+4x-3=(10x-3) equation:


Simplifying
20x2 + 4x + -3 = (10x + -3)

Reorder the terms:
-3 + 4x + 20x2 = (10x + -3)

Reorder the terms:
-3 + 4x + 20x2 = (-3 + 10x)

Remove parenthesis around (-3 + 10x)
-3 + 4x + 20x2 = -3 + 10x

Add '3' to each side of the equation.
-3 + 4x + 3 + 20x2 = -3 + 3 + 10x

Reorder the terms:
-3 + 3 + 4x + 20x2 = -3 + 3 + 10x

Combine like terms: -3 + 3 = 0
0 + 4x + 20x2 = -3 + 3 + 10x
4x + 20x2 = -3 + 3 + 10x

Combine like terms: -3 + 3 = 0
4x + 20x2 = 0 + 10x
4x + 20x2 = 10x

Solving
4x + 20x2 = 10x

Solving for variable 'x'.

Reorder the terms:
4x + -10x + 20x2 = 10x + -10x

Combine like terms: 4x + -10x = -6x
-6x + 20x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-6x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 10x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-3 + 10x)' equal to zero and attempt to solve: Simplifying -3 + 10x = 0 Solving -3 + 10x = 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 + 10x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 0 + 3 10x = 0 + 3 Combine like terms: 0 + 3 = 3 10x = 3 Divide each side by '10'. x = 0.3 Simplifying x = 0.3

Solution

x = {0, 0.3}

See similar equations:

| 4sqrtx+2=-16 | | X=19.7 | | 2x+3y=4x-10 | | (-0.5y)-18=72 | | -7x+29y=-5 | | 6j+1.9=-5.5 | | 7n=68 | | 24N=20 | | 2t-9=-63 | | 2(-x+2)=2x+4 | | 33+21x-13+6x= | | 7c-9=117 | | 14x-22x+7=-(7+8x) | | 42x^2+13x-42=0 | | 10x+3=8x+6 | | 20+1.50x=9+2.75x | | 5(x-11)=10x+3 | | 2(x^2)+2(x)-3=-1 | | 3w+4=-50 | | 9log(x+1)+3log(x)=2 | | (z-18)/-7=13 | | 62=8x/4 | | 4x+(2-x)+x=x+10 | | 2x+y(-3)=3 | | 3a=5(a+3)-3 | | 88+x= | | 2(-10+10-2v)= | | x/2-0.25=1 | | 2.3(x+0.5)=1.15 | | 23m+m=51 | | (2x+4)(2x-1)=0 | | 4x-2=3(x-1) |

Equations solver categories