4x^2-15x+24=2x+9

Simple and best practice solution for 4x^2-15x+24=2x+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^2-15x+24=2x+9 equation: 


Simplifying
4x2 + -15x + 24 = 2x + 9

Reorder the terms:
24 + -15x + 4x2 = 2x + 9

Reorder the terms:
24 + -15x + 4x2 = 9 + 2x

Solving
24 + -15x + 4x2 = 9 + 2x

Solving for variable 'x'.

Reorder the terms:
24 + -9 + -15x + -2x + 4x2 = 9 + 2x + -9 + -2x

Combine like terms: 24 + -9 = 15
15 + -15x + -2x + 4x2 = 9 + 2x + -9 + -2x

Combine like terms: -15x + -2x = -17x
15 + -17x + 4x2 = 9 + 2x + -9 + -2x

Reorder the terms:
15 + -17x + 4x2 = 9 + -9 + 2x + -2x

Combine like terms: 9 + -9 = 0
15 + -17x + 4x2 = 0 + 2x + -2x
15 + -17x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -17x + 4x2 = 0

Factor a trinomial.
(5 + -4x)(3 + -1x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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 = {1.25, 3}

See similar equations:

| 8x-12=5x+24 | | -7(4+7x)=413 | | 2x-6+9=4x+3 | | -2=-4w+2(w+7) | | x-3=4-4(x+4) | | ((X-9)51)/2 | | 28+-0.3y=0.7y-12 | | 5(x+1.4)=x+2.6 | | n-6/n^2-6n | | -7(4+7)=413 | | 27+3ab=x | | 12v-6=3v+12 | | 5x+3+2x=87 | | (X-9)51/2 | | 15/30=n | | 74=5n+x | | x^2-2x-8=-4x-5 | | x^2-8x+10=4x-x^2 | | x^2+3x-1=9 | | (-3z)+(-9)=(-18) | | x^2+7x+13=-2x-5 | | 1.52g-6=0.84 | | 2i+2(60)=750 | | 7t-14=10t-50 | | 19x+32=-3x+6 | | 0=-8x^2-14x+107 | | 5/3m+2=13/6 | | -18-6k=6(1*3k) | | 8c-7c=7 | | 30x+20(50)=2260 | | 2x-6=x-13 | | 30(96.54545455+-1.090909091y)+20y=2260 |

Equations solver categories