(-2x^2)-3x+15=0

Simple and best practice solution for (-2x^2)-3x+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 (-2x^2)-3x+15=0 equation:


Simplifying
(-2x2) + -3x + 15 = 0

Reorder the terms:
15 + -3x + (-2x2) = 0

Solving
15 + -3x + (-2x2) = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-7.5 + 1.5x + x2 = 0

Move the constant term to the right:

Add '7.5' to each side of the equation.
-7.5 + 1.5x + 7.5 + x2 = 0 + 7.5

Reorder the terms:
-7.5 + 7.5 + 1.5x + x2 = 0 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 1.5x + x2 = 0 + 7.5
1.5x + x2 = 0 + 7.5

Combine like terms: 0 + 7.5 = 7.5
1.5x + x2 = 7.5

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = 7.5 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = 7.5 + 0.5625

Combine like terms: 7.5 + 0.5625 = 8.0625
0.5625 + 1.5x + x2 = 8.0625

Factor a perfect square on the left side:
((x) + 0.75)((x) + 0.75) = 8.0625

Calculate the square root of the right side: 2.839454173

Break this problem into two subproblems by setting 
((x) + 0.75) equal to 2.839454173 and -2.839454173.

Subproblem 1

(x) + 0.75 = 2.839454173 Simplifying (x) + 0.75 = 2.839454173 x + 0.75 = 2.839454173 Reorder the terms: 0.75 + x = 2.839454173 Solving 0.75 + x = 2.839454173 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 2.839454173 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 2.839454173 + -0.75 x = 2.839454173 + -0.75 Combine like terms: 2.839454173 + -0.75 = 2.089454173 x = 2.089454173 Simplifying x = 2.089454173

Subproblem 2

(x) + 0.75 = -2.839454173 Simplifying (x) + 0.75 = -2.839454173 x + 0.75 = -2.839454173 Reorder the terms: 0.75 + x = -2.839454173 Solving 0.75 + x = -2.839454173 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -2.839454173 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -2.839454173 + -0.75 x = -2.839454173 + -0.75 Combine like terms: -2.839454173 + -0.75 = -3.589454173 x = -3.589454173 Simplifying x = -3.589454173

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.089454173, -3.589454173}

See similar equations:

| x^4+8x^2+1= | | 31-3x=9 | | 1.7(3h-4)=6(3.4k-2) | | 4a^2-20a+24= | | (-2x^2)+9x+15=0 | | 18a^2+10a=16k+4 | | 5m+6=3m+30 | | -13+4d=31 | | 10x^3-24x^2-20x+78=0 | | 7-5u=-38 | | 25a^2-10a+1= | | 3h+4=5 | | 11+5=12 | | -7+12=-9 | | -7-13=-2 | | 10-16v=4 | | 4+3x=-2 | | -13=-2 | | b(b+5)=0 | | 6x+11=x+6 | | 3u-4=2u+12 | | 6+y=14 | | -5+2x=1 | | (2+4i)(-4-1i)= | | 0.75y=126 | | w(18-w)(2w+4)=1152 | | 30w+60=27 | | 6r+r=1 | | 2a^2+9=11a | | 8n^2+24n+10=0 | | 7x+y=-12 | | -11+5w+7=-4w-37-2w |

Equations solver categories