20x-19=3(x^2+3)

Simple and best practice solution for 20x-19=3(x^2+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-19=3(x^2+3) equation: 


Simplifying
20x + -19 = 3(x2 + 3)

Reorder the terms:
-19 + 20x = 3(x2 + 3)

Reorder the terms:
-19 + 20x = 3(3 + x2)
-19 + 20x = (3 * 3 + x2 * 3)
-19 + 20x = (9 + 3x2)

Solving
-19 + 20x = 9 + 3x2

Solving for variable 'x'.

Reorder the terms:
-19 + -9 + 20x + -3x2 = 9 + 3x2 + -9 + -3x2

Combine like terms: -19 + -9 = -28
-28 + 20x + -3x2 = 9 + 3x2 + -9 + -3x2

Reorder the terms:
-28 + 20x + -3x2 = 9 + -9 + 3x2 + -3x2

Combine like terms: 9 + -9 = 0
-28 + 20x + -3x2 = 0 + 3x2 + -3x2
-28 + 20x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-28 + 20x + -3x2 = 0

Factor a trinomial.
(-14 + 3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-14 + 3x)' equal to zero and attempt to solve:

Simplifying
-14 + 3x = 0

Solving
-14 + 3x = 0

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

Add '14' to each side of the equation.
-14 + 14 + 3x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 0 + 14
3x = 0 + 14

Combine like terms: 0 + 14 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {4.666666667, 2}

See similar equations:

| [(x)+(x+25)]=85 | | 2/5u=14 | | (3x)-5=16 | | 25x-19=3(x^2+3) | | U=(9n+32)+7(N+1) | | (3m)-4=(4m)+11 | | 53=5-8v | | 3[(2x)+1]=2[x+4] | | y^2-6y-8x-7=0 | | 29x+17y=-19 | | (5x)+9=(3x)-11 | | x^4-68x^2+30x+36=0 | | x^2+4y-3y=0 | | 5x+(-3)x= | | 2x+455646x=23x-1 | | 4x---|zxcvbnm,./- | | 7B-8=6b-5 | | 12v^7-44v^6+40v^5=0 | | 24=4(w-1) | | 7.6/n=4/15 | | 6x-5=10x-25 | | (x-2/4)-(x-3/5)=1 | | 6x^2/40-40=0 | | 2/5=n/74 | | 5(x+3)-(x+4)=53 | | x-2/4-x-3/5=1 | | 5x=6x+3x | | 12x+8y=11 | | (3a+b)(3a-b)(9a^2+b^2)= | | 3n^2-7-18n=0 | | 15/n=27/45 | | C+C(.07875)=15 |

Equations solver categories