4x^2-9x+15=2x+8

Simple and best practice solution for 4x^2-9x+15=2x+8 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^2-9x+15=2x+8 equation: 


Simplifying
4x2 + -9x + 15 = 2x + 8

Reorder the terms:
15 + -9x + 4x2 = 2x + 8

Reorder the terms:
15 + -9x + 4x2 = 8 + 2x

Solving
15 + -9x + 4x2 = 8 + 2x

Solving for variable 'x'.

Reorder the terms:
15 + -8 + -9x + -2x + 4x2 = 8 + 2x + -8 + -2x

Combine like terms: 15 + -8 = 7
7 + -9x + -2x + 4x2 = 8 + 2x + -8 + -2x

Combine like terms: -9x + -2x = -11x
7 + -11x + 4x2 = 8 + 2x + -8 + -2x

Reorder the terms:
7 + -11x + 4x2 = 8 + -8 + 2x + -2x

Combine like terms: 8 + -8 = 0
7 + -11x + 4x2 = 0 + 2x + -2x
7 + -11x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -11x + 4x2 = 0

Factor a trinomial.
(1 + -1x)(7 + -4x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {1, 1.75}

See similar equations:

| 3x(4+1)= | | 8(7-x)+6(2x+8)=148 | | 2x+3=4x+6 | | x^2-12x+28=0 | | 2x+3=4x-6 | | 3.2a-16=4 | | x^4+2x^2+4=0 | | 10=-2n-4 | | 10=5n-1 | | k+3=7k+15 | | 6x-1/5=3/1 | | 3q+13+2q-9= | | 6x=99999999999999 | | p^2-2p-19=0 | | g/2=-1 | | -5r-1+6r=3 | | 7=0.5(2x+10) | | (2x+3)-(-3x+8)= | | 8x+6=4x | | 2x-6+x+1=180 | | (2x+3)+(3x+8)= | | 5e+13=7e-21 | | 8x-6=4x | | 13x=32+5 | | 4(g+3)-12=116 | | 5+2n=3n-16 | | b(2b-3)=10 | | 10y-2=7b-7.4 | | 2x+3y=4x+6y | | r(r-3)=4 | | 52=(2x+1)(x+1) | | 24-10x=x^2 |

Equations solver categories