4x^2+34x-18=x+9

Simple and best practice solution for 4x^2+34x-18=x+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+34x-18=x+9 equation: 


Simplifying
4x2 + 34x + -18 = x + 9

Reorder the terms:
-18 + 34x + 4x2 = x + 9

Reorder the terms:
-18 + 34x + 4x2 = 9 + x

Solving
-18 + 34x + 4x2 = 9 + x

Solving for variable 'x'.

Reorder the terms:
-18 + -9 + 34x + -1x + 4x2 = 9 + x + -9 + -1x

Combine like terms: -18 + -9 = -27
-27 + 34x + -1x + 4x2 = 9 + x + -9 + -1x

Combine like terms: 34x + -1x = 33x
-27 + 33x + 4x2 = 9 + x + -9 + -1x

Reorder the terms:
-27 + 33x + 4x2 = 9 + -9 + x + -1x

Combine like terms: 9 + -9 = 0
-27 + 33x + 4x2 = 0 + x + -1x
-27 + 33x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
-27 + 33x + 4x2 = 0

Factor a trinomial.
(-9 + -1x)(3 + -4x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
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
Solution
x = {-9, 0.75}

See similar equations:

| Xgiveny=73 | | 4-2(5x-4)=-10x | | m=88+3(5) | | 8y+6=6y | | 3(8-6)=t | | 6r+2=-10 | | 8m-(2m-3)=12 | | -2(3x+5)=-6x-10 | | (6+i)+(8-8i)= | | 3(y+1)+3=7(y-2) | | 3(4b+7)=5(2b+11) | | 3x^3+kx^2-7x+2=0 | | a+4.8=2.9 | | -7y-3=4-6y | | 0.75(12x-24)=-9 | | 4y-3=12y+53 | | 24=n+3 | | (-5+3i)-(-7+9i)= | | 37.777=8g+3.85 | | -3x+4-7x=-10x-4 | | 2n=40 | | (x^2-7x+2)(x^2-2x+3)= | | 8c^2+26c-24=0 | | (x^2-7x+2)(x^2-2a+3)= | | x*-4=x*6+25 | | 6(1.5y-3)=-30 | | 4(4b+8)=3b+23 | | 7x+5-2x-2=21 | | 6x-2=80 | | 4k-16=k+24 | | 6(2x+7)=13x+30 | | -7.532/(-2.69)= |

Equations solver categories