4x^2-7x+18=8x+9

Simple and best practice solution for 4x^2-7x+18=8x+9 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^2-7x+18=8x+9 equation: 


Simplifying
4x2 + -7x + 18 = 8x + 9

Reorder the terms:
18 + -7x + 4x2 = 8x + 9

Reorder the terms:
18 + -7x + 4x2 = 9 + 8x

Solving
18 + -7x + 4x2 = 9 + 8x

Solving for variable 'x'.

Reorder the terms:
18 + -9 + -7x + -8x + 4x2 = 9 + 8x + -9 + -8x

Combine like terms: 18 + -9 = 9
9 + -7x + -8x + 4x2 = 9 + 8x + -9 + -8x

Combine like terms: -7x + -8x = -15x
9 + -15x + 4x2 = 9 + 8x + -9 + -8x

Reorder the terms:
9 + -15x + 4x2 = 9 + -9 + 8x + -8x

Combine like terms: 9 + -9 = 0
9 + -15x + 4x2 = 0 + 8x + -8x
9 + -15x + 4x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -15x + 4x2 = 0

Factor a trinomial.
(3 + -4x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.75, 3}

See similar equations:

| 7x^2+24x+28= | | l3m-2/2l=4 | | -67=-8p-3 | | (2x^2-12x+36)+(2y^2+8y+16)=24 | | -2x-9=7x+36 | | (x+6)(x-6)-8=1-4x | | 7a=10-4a | | (x-3)/4=x/2 | | -2(5u-6)+4u=3(u+9) | | -34=4y-6 | | 3=-8+b/-5 | | (4v+7)/15=(6v+2)/10 | | 6x-11y=48 | | 4x^4-16x^3+16x^2=0 | | 7+3(5y-3)=-2(2y-8)+4y | | 4(y+1)=5y | | 3/17x=-9/7 | | 90-12+x=180 | | 6x+11y=48 | | x^2-22x+39=-7x+3 | | 3[1-(-2x-9)]=48x+219 | | -183=-10m-3 | | x-3x+5x-54=180 | | 1/9=(3-y)/4 | | -4(y+2)=2y-6+2(2y+6) | | 7/4=(f-4)/8 | | x/4+2=x/2+1 | | -4(-4u+9)-2u=4(u-8)-6 | | y+x+26=64 | | 3(y+2)=-2(5y-1)+7y | | a^2-a-2=0 | | 0=3x^3+x^2-38x+24 |

Equations solver categories