4x^2-15x+15=-3x+10

Simple and best practice solution for 4x^2-15x+15=-3x+10 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+15=-3x+10 equation: 


Simplifying
4x2 + -15x + 15 = -3x + 10

Reorder the terms:
15 + -15x + 4x2 = -3x + 10

Reorder the terms:
15 + -15x + 4x2 = 10 + -3x

Solving
15 + -15x + 4x2 = 10 + -3x

Solving for variable 'x'.

Reorder the terms:
15 + -10 + -15x + 3x + 4x2 = 10 + -3x + -10 + 3x

Combine like terms: 15 + -10 = 5
5 + -15x + 3x + 4x2 = 10 + -3x + -10 + 3x

Combine like terms: -15x + 3x = -12x
5 + -12x + 4x2 = 10 + -3x + -10 + 3x

Reorder the terms:
5 + -12x + 4x2 = 10 + -10 + -3x + 3x

Combine like terms: 10 + -10 = 0
5 + -12x + 4x2 = 0 + -3x + 3x
5 + -12x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
5 + -12x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(5 + -2x) = 0


Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0.5, 2.5}

See similar equations:

| 5x-1x-4-3=3x-4 | | x+10-2=78 | | x^2-3x-28=-9x-1 | | x^2-5x-35=1 | | 2x+39=12x-81 | | 4x-20+61=180 | | (3+i)z+2i=6i | | 5x-5+9=3x+3+2x | | 4+6t-3=4t+13-2t | | 0.7t=0.6+0.2t | | 3(1+2x)=5(x-2) | | 21n^2+19-22=0 | | 5(x+8)+11=8x-3(x-3) | | 1-x=2x+22 | | 5x+1-1=3x^2 | | 4x+12=2x-4 | | 65-3x=31x+24 | | 7n^2-18n+11=0 | | 6x+40=X | | x+45=85 | | 13-10x=22-17x | | 2x^2-2x+9=0 | | 5t-7=35-t | | a^2-17=-42 | | 11-4*5= | | 0.75x=6.66 | | 205-2x=43x+20 | | 6w^2-18w-108=0 | | h=-16t^2+52t | | 4x^2-9x+11=7x+4 | | 3x+1=9.6 | | -8(2b+1)+(17b-7)=0 |

Equations solver categories