4x^2-15x+15=-2x+5

Simple and best practice solution for 4x^2-15x+15=-2x+5 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=-2x+5 equation: 


Simplifying
4x2 + -15x + 15 = -2x + 5

Reorder the terms:
15 + -15x + 4x2 = -2x + 5

Reorder the terms:
15 + -15x + 4x2 = 5 + -2x

Solving
15 + -15x + 4x2 = 5 + -2x

Solving for variable 'x'.

Reorder the terms:
15 + -5 + -15x + 2x + 4x2 = 5 + -2x + -5 + 2x

Combine like terms: 15 + -5 = 10
10 + -15x + 2x + 4x2 = 5 + -2x + -5 + 2x

Combine like terms: -15x + 2x = -13x
10 + -13x + 4x2 = 5 + -2x + -5 + 2x

Reorder the terms:
10 + -13x + 4x2 = 5 + -5 + -2x + 2x

Combine like terms: 5 + -5 = 0
10 + -13x + 4x2 = 0 + -2x + 2x
10 + -13x + 4x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
10 + -13x + 4x2 = 0

Factor a trinomial.
(5 + -4x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1.25, 2}

See similar equations:

| x^2+x=153 | | 6(4x-15)=4238 | | 4x^2+13x=3 | | x^2-11x-11=-9x+4 | | 4y=200x-y+3 | | x^2+6x+20=-3x+2 | | y=4x+5x-2 | | Y=500x+4x^2-7y | | x^2-11x-11=9x+4 | | (5x+35)/8=-5 | | 5x+6=-1 | | x^2+9x+21=1 | | 4x^2-17x+33=7x+6 | | 6=8(s-3/4)-30 | | x^2-5x-23=-2x-5 | | c=15d+30 | | (5x-46)/4=(10)/x | | (4x+55)/7=-3 | | (5x+40)/7=-5 | | (6x+68)/8=-2 | | 0.1025x^2-0.3076x+0.9977=0.8296 | | x+7=x+6 | | (7x+20)/9=-4 | | 0.1025x^2-0.3076x+0.9977=0.9814 | | x^4+6x^3+6x^2-8=0 | | -x-83=-6x+57 | | 3t-4=6t+8 | | -3x+2=-x-2(3+4) | | 2(x+3)=2x+15 | | (5x+57)/9=-2 | | 7x/8=-14 | | 14x+7x+4x-28x=-23+8+3+3 |

Equations solver categories