2X-15=-3X^2

Simple and best practice solution for 2X-15=-3X^2 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 2X-15=-3X^2 equation:


Simplifying
2X + -15 = -3X2

Reorder the terms:
-15 + 2X = -3X2

Solving
-15 + 2X = -3X2

Solving for variable 'X'.

Combine like terms: -3X2 + 3X2 = 0
-15 + 2X + 3X2 = 0

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

Divide each side by '3'.
-5 + 0.6666666667X + X2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 0.6666666667X + 5 + X2 = 0 + 5

Reorder the terms:
-5 + 5 + 0.6666666667X + X2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 0.6666666667X + X2 = 0 + 5
0.6666666667X + X2 = 0 + 5

Combine like terms: 0 + 5 = 5
0.6666666667X + X2 = 5

The X term is 0.6666666667X.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667X + 0.1111111112 + X2 = 5 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667X + X2 = 5 + 0.1111111112

Combine like terms: 5 + 0.1111111112 = 5.1111111112
0.1111111112 + 0.6666666667X + X2 = 5.1111111112

Factor a perfect square on the left side:
(X + 0.3333333334)(X + 0.3333333334) = 5.1111111112

Calculate the square root of the right side: 2.260776661

Break this problem into two subproblems by setting 
(X + 0.3333333334) equal to 2.260776661 and -2.260776661.

Subproblem 1

X + 0.3333333334 = 2.260776661 Simplifying X + 0.3333333334 = 2.260776661 Reorder the terms: 0.3333333334 + X = 2.260776661 Solving 0.3333333334 + X = 2.260776661 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + X = 2.260776661 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + X = 2.260776661 + -0.3333333334 X = 2.260776661 + -0.3333333334 Combine like terms: 2.260776661 + -0.3333333334 = 1.9274433276 X = 1.9274433276 Simplifying X = 1.9274433276

Subproblem 2

X + 0.3333333334 = -2.260776661 Simplifying X + 0.3333333334 = -2.260776661 Reorder the terms: 0.3333333334 + X = -2.260776661 Solving 0.3333333334 + X = -2.260776661 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + X = -2.260776661 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + X = -2.260776661 + -0.3333333334 X = -2.260776661 + -0.3333333334 Combine like terms: -2.260776661 + -0.3333333334 = -2.5941099944 X = -2.5941099944 Simplifying X = -2.5941099944

Solution

The solution to the problem is based on the solutions from the subproblems. X = {1.9274433276, -2.5941099944}

See similar equations:

| x/40=-5/8 | | r^2-4r+9=0 | | 16b^2=112 | | X^2=305 | | 100+22a=70+25a | | 9x^2+16y^2-36x+96y+36=0 | | 3k^2=60 | | 15x^4-20x^2=0 | | 63+11=4x | | 8t^2=72 | | (7n-2)(5n-15)=0 | | 25y=16 | | 12+5a=18+3a | | -7y+2(y+8)=-19 | | 5x+2(4x-3)=6x+9 | | 4s+5=17 | | X^2=545 | | 6x-18+2x+6=90 | | 5+2x=-2x-43 | | 0=2x^2-3x-4 | | -22g=-23 | | X^2=205 | | -22=-23 | | 5/3•4/3•-=8 | | x^2-21x= | | 3x(2x+3)=(5x+1)1 | | -4/3u-1/2 | | -k-6-7k-20=-2 | | 68=3x+14 | | 15z=-14 | | 2x^2+4=c^2 | | 14x-16=x^2 |

Equations solver categories