2.5x^2-10x-15=0

Simple and best practice solution for 2.5x^2-10x-15=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 2.5x^2-10x-15=0 equation:


Simplifying
2.5x2 + -10x + -15 = 0

Reorder the terms:
-15 + -10x + 2.5x2 = 0

Solving
-15 + -10x + 2.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '2.5'.
-6 + -4x + x2 = 0

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + -4x + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + -4x + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -4x + x2 = 0 + 6
-4x + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
-4x + x2 = 6

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 6 + 4

Reorder the terms:
4 + -4x + x2 = 6 + 4

Combine like terms: 6 + 4 = 10
4 + -4x + x2 = 10

Factor a perfect square on the left side:
(x + -2)(x + -2) = 10

Calculate the square root of the right side: 3.16227766

Break this problem into two subproblems by setting 
(x + -2) equal to 3.16227766 and -3.16227766.

Subproblem 1

x + -2 = 3.16227766 Simplifying x + -2 = 3.16227766 Reorder the terms: -2 + x = 3.16227766 Solving -2 + x = 3.16227766 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 3.16227766 + 2 Combine like terms: -2 + 2 = 0 0 + x = 3.16227766 + 2 x = 3.16227766 + 2 Combine like terms: 3.16227766 + 2 = 5.16227766 x = 5.16227766 Simplifying x = 5.16227766

Subproblem 2

x + -2 = -3.16227766 Simplifying x + -2 = -3.16227766 Reorder the terms: -2 + x = -3.16227766 Solving -2 + x = -3.16227766 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = -3.16227766 + 2 Combine like terms: -2 + 2 = 0 0 + x = -3.16227766 + 2 x = -3.16227766 + 2 Combine like terms: -3.16227766 + 2 = -1.16227766 x = -1.16227766 Simplifying x = -1.16227766

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.16227766, -1.16227766}

See similar equations:

| -4x=-3.6+4x | | 4(3y^2+22w+7)=1 | | 2(6+x)=14+2x | | 2y^7-2y^3=0 | | 1/2x=1/4x+3/7 | | 4.8x+12.96=-3.6+2.88 | | 9x-8=9x+45 | | 0.8x-4.2=0.6 | | c-2c= | | 4x=1/x2 | | -x-2=6+-2x | | 11=9x-2 | | 5x(4x+1)(x-8)=0 | | 2(x-1)-3(x+2)=2-x | | 9r=54 | | y=-16x^2+64 | | 13x+8=10x-7 | | c-64=20 | | 5.4x-6.3=7.2 | | 7p=84 | | 6c+d+9c+7d= | | 15r^2+4r-32=0 | | 2.5x^2-10x-15=o | | 120=60 | | 20-5(1-2m)+6(m-1)=3(5m-2) | | -4a+8a= | | l-13=4 | | -x^2+20-x=0 | | 11=k-2 | | -10+m=32 | | 82+64=75 | | 3t+12-3= |

Equations solver categories