4x^2=21x+18

Simple and best practice solution for 4x^2=21x+18 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 4x^2=21x+18 equation:


Simplifying
4x2 = 21x + 18

Reorder the terms:
4x2 = 18 + 21x

Solving
4x2 = 18 + 21x

Solving for variable 'x'.

Reorder the terms:
-18 + -21x + 4x2 = 18 + 21x + -18 + -21x

Reorder the terms:
-18 + -21x + 4x2 = 18 + -18 + 21x + -21x

Combine like terms: 18 + -18 = 0
-18 + -21x + 4x2 = 0 + 21x + -21x
-18 + -21x + 4x2 = 21x + -21x

Combine like terms: 21x + -21x = 0
-18 + -21x + 4x2 = 0

Factor a trinomial.
(-3 + -4x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-0.75, 6}

See similar equations:

| x^18-y^21= | | 6x-8=3x+22 | | 2y^2-24y-8=0 | | 40-16=3(x-2) | | y=65+1 | | 2t+3=5 | | 3n+n=180.00 | | 5c-c=360 | | 5(-x+4)=12 | | 9x+6-8x=10 | | 2b-12= | | -4+12=m-3 | | 85(z-65)=z+10 | | 3z+z+4z= | | -24p-5(3-6p)=4(p-3)-9 | | 6x+17-5x=-3-10 | | 39=4t-17t | | -10+3x-x-7x+5x+7+2x=4x-3 | | 4x-10y=3 | | y=-16x^2+144x+160 | | 3x+y+16x+2y=180 | | Y=(6w)(k) | | r-7.5=1.2 | | (2)5x-3=14 | | c=60+0.05d | | 5w-15w=-20 | | 5a+15(a+2)=35 | | -3n-3-4n= | | 5x^4-5x^3-2x^2=0 | | 3(x+3)-x=13 | | -6x+-30+14x+7= | | 4x+5=7-(5x-6) |

Equations solver categories