4b^2-16b+15=(2b-5)

Simple and best practice solution for 4b^2-16b+15=(2b-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 4b^2-16b+15=(2b-5) equation: 


Simplifying
4b2 + -16b + 15 = (2b + -5)

Reorder the terms:
15 + -16b + 4b2 = (2b + -5)

Reorder the terms:
15 + -16b + 4b2 = (-5 + 2b)

Remove parenthesis around (-5 + 2b)
15 + -16b + 4b2 = -5 + 2b

Solving
15 + -16b + 4b2 = -5 + 2b

Solving for variable 'b'.

Reorder the terms:
15 + 5 + -16b + -2b + 4b2 = -5 + 2b + 5 + -2b

Combine like terms: 15 + 5 = 20
20 + -16b + -2b + 4b2 = -5 + 2b + 5 + -2b

Combine like terms: -16b + -2b = -18b
20 + -18b + 4b2 = -5 + 2b + 5 + -2b

Reorder the terms:
20 + -18b + 4b2 = -5 + 5 + 2b + -2b

Combine like terms: -5 + 5 = 0
20 + -18b + 4b2 = 0 + 2b + -2b
20 + -18b + 4b2 = 2b + -2b

Combine like terms: 2b + -2b = 0
20 + -18b + 4b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -9b + 2b2) = 0

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

Ignore the factor 2.

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

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

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

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

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

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

Simplifying
b = 2

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

Simplifying
5 + -2b = 0

Solving
5 + -2b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2b = 0 + -5

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

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

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

Simplifying
b = 2.5
Solution
b = {2, 2.5}

See similar equations:

| 6x-9=2x-(3-x) | | 6c-38=4c | | 5x=12x-29 | | 2n^2+5n-3=3 | | 3y-20=4x+17 | | 1/3(3x-2) | | 19.5/t=13.5/4.5 | | 9/8x=18 | | T/19.5=4.5/13.5 | | 2a-3=2a+1 | | 3x-13=8x+6 | | T/19.5=4/13.5 | | 6x-10=6x+12 | | X^5+19x^3+9x^2+9x=0 | | T/19.5=13.5/4.5 | | x=4/27 | | T/19.5=4/12 | | 3(x-3)+4(x+1)=30 | | 19*19*19*19*19*19*19*19*19*19= | | (x)+(2x-2)+(x+2)=180 | | 3x+45=2x+75 | | A(x)=x(28-2x) | | -4j-(-5/-7=13) | | 7x-21=-7 | | x^4/40000 | | x+3-3=10-3 | | 3x+(.67x)=336 | | x^2-10x+21=4 | | 0.2x+0.8=0.7x-2.7 | | u/11=4 | | 5w+11=19 | | 4(2x+3)+3x+2=36 |

Equations solver categories