15+25x-20x^2=0

Simple and best practice solution for 15+25x-20x^2=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 15+25x-20x^2=0 equation:


Simplifying
15 + 25x + -20x2 = 0

Solving
15 + 25x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + 5x + -4x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(3 + 5x + -4x2)' equal to zero and attempt to solve:

Simplifying
3 + 5x + -4x2 = 0

Solving
3 + 5x + -4x2 = 0

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

Divide each side by '-4'.
-0.75 + -1.25x + x2 = 0

Move the constant term to the right:

Add '0.75' to each side of the equation.
-0.75 + -1.25x + 0.75 + x2 = 0 + 0.75

Reorder the terms:
-0.75 + 0.75 + -1.25x + x2 = 0 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + -1.25x + x2 = 0 + 0.75
-1.25x + x2 = 0 + 0.75

Combine like terms: 0 + 0.75 = 0.75
-1.25x + x2 = 0.75

The x term is -1.25x.  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.
-1.25x + 0.390625 + x2 = 0.75 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = 0.75 + 0.390625

Combine like terms: 0.75 + 0.390625 = 1.140625
0.390625 + -1.25x + x2 = 1.140625

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

Calculate the square root of the right side: 1.068000468

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


Subproblem 1
x + -0.625 = 1.068000468

Simplifying
x + -0.625 = 1.068000468

Reorder the terms:
-0.625 + x = 1.068000468

Solving
-0.625 + x = 1.068000468

Solving for variable 'x'.

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

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

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

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

Simplifying
x = 1.693000468


Subproblem 2
x + -0.625 = -1.068000468

Simplifying
x + -0.625 = -1.068000468

Reorder the terms:
-0.625 + x = -1.068000468

Solving
-0.625 + x = -1.068000468

Solving for variable 'x'.

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

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

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

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

Simplifying
x = -0.443000468


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

See similar equations:

| -5(2-x)=15 | | 68p=17 | | 2x+y+1=4x+3 | | 3(x+7)-5=2(x-5)+7 | | (Y-4)(y+3)=0 | | 3x^2+16x-204=0 | | 2(5n)=8n+10 | | 2x+35x-42=-8 | | 84=-4(-7-2p) | | 3(x-2)=243 | | 7/8×10 | | 6x=3(x+18) | | 3x^2-16x-204=0 | | 2(n+8)=6n | | lnx+ln(x-7)=ln(4x-24) | | 30x=e | | 24x=69 | | x+5=0.5(3x-1) | | s=2793081+.2473s | | x+(2x+3)=78 | | 4r-20+12r+42= | | 3x+2y+3x+3y= | | -7v+3(v+2)=14 | | A/4-5/6=-1/3 | | q+q+q= | | 3w=7.5 | | s+100000=2793081+.2473s | | 29=7(w-3)-2w | | A=rt+q | | 252=8x+4(6x-1) | | 8(x+8)+5x=-14 | | 2x-4(4x+5)+5z=-33 |

Equations solver categories