4p^2-5p-3=0

Simple and best practice solution for 4p^2-5p-3=0 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 4p^2-5p-3=0 equation:


Simplifying
4p2 + -5p + -3 = 0

Reorder the terms:
-3 + -5p + 4p2 = 0

Solving
-3 + -5p + 4p2 = 0

Solving for variable 'p'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
-0.75 + -1.25p + p2 = 0

Move the constant term to the right:

Add '0.75' to each side of the equation.
-0.75 + -1.25p + 0.75 + p2 = 0 + 0.75

Reorder the terms:
-0.75 + 0.75 + -1.25p + p2 = 0 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + -1.25p + p2 = 0 + 0.75
-1.25p + p2 = 0 + 0.75

Combine like terms: 0 + 0.75 = 0.75
-1.25p + p2 = 0.75

The p term is -1.25p.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25p + 0.390625 + p2 = 0.75 + 0.390625

Reorder the terms:
0.390625 + -1.25p + p2 = 0.75 + 0.390625

Combine like terms: 0.75 + 0.390625 = 1.140625
0.390625 + -1.25p + p2 = 1.140625

Factor a perfect square on the left side:
(p + -0.625)(p + -0.625) = 1.140625

Calculate the square root of the right side: 1.068000468

Break this problem into two subproblems by setting 
(p + -0.625) equal to 1.068000468 and -1.068000468.


Subproblem 1
p + -0.625 = 1.068000468

Simplifying
p + -0.625 = 1.068000468

Reorder the terms:
-0.625 + p = 1.068000468

Solving
-0.625 + p = 1.068000468

Solving for variable 'p'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + p = 1.068000468 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + p = 1.068000468 + 0.625
p = 1.068000468 + 0.625

Combine like terms: 1.068000468 + 0.625 = 1.693000468
p = 1.693000468

Simplifying
p = 1.693000468


Subproblem 2
p + -0.625 = -1.068000468

Simplifying
p + -0.625 = -1.068000468

Reorder the terms:
-0.625 + p = -1.068000468

Solving
-0.625 + p = -1.068000468

Solving for variable 'p'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + p = -1.068000468 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + p = -1.068000468 + 0.625
p = -1.068000468 + 0.625

Combine like terms: -1.068000468 + 0.625 = -0.443000468
p = -0.443000468

Simplifying
p = -0.443000468


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {1.693000468, -0.443000468}

See similar equations:

| m-0.4+1.5=5.7 | | 5+(6-2a)=(5a-11)-(6+3a) | | 3(a-5)=4(3-2a) | | 4Y+3X=3 | | 7n-1=14 | | 5w^2=8w | | 2y=-4x-16 | | 19=.45(x) | | 2x-3=-5x-17 | | 2x+3=-5x-17 | | 50x^3+195x^2+70x= | | Xx=xy | | t^2=-15-8t | | 150015=599x | | 2x^2+9x+12=0 | | 8=8r-4(6+8) | | 0.13(x+50)=30 | | ln(6x)=0 | | 0.13(x+50)=24.96 | | 3y^2-5y+1=0 | | 5y^2-14y=3 | | 11v-6=3v^2 | | y^2-12y+15= | | t^2*c*r^2*o^2*w*n*y*a*l=2389398934 | | Kx^2-10x+25k=0 | | 91-50=40 | | 129-5x=13x+23 | | 78-55+3x=39 | | 15*40=600 | | 3x+10=-16+10x | | 24x-6=15 | | 3x^3+y^2+2x^3+3y^2= |

Equations solver categories