4x^2-x+3=-10x

Simple and best practice solution for 4x^2-x+3=-10x 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 4x^2-x+3=-10x equation:


Simplifying
4x2 + -1x + 3 = -10x

Reorder the terms:
3 + -1x + 4x2 = -10x

Solving
3 + -1x + 4x2 = -10x

Solving for variable 'x'.

Reorder the terms:
3 + -1x + 10x + 4x2 = -10x + 10x

Combine like terms: -1x + 10x = 9x
3 + 9x + 4x2 = -10x + 10x

Combine like terms: -10x + 10x = 0
3 + 9x + 4x2 = 0

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

Divide each side by '4'.
0.75 + 2.25x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 2.25x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 2.25x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 2.25x + x2 = 0 + -0.75
2.25x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
2.25x + x2 = -0.75

The x term is 2.25x.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25x + 1.265625 + x2 = -0.75 + 1.265625

Reorder the terms:
1.265625 + 2.25x + x2 = -0.75 + 1.265625

Combine like terms: -0.75 + 1.265625 = 0.515625
1.265625 + 2.25x + x2 = 0.515625

Factor a perfect square on the left side:
(x + 1.125)(x + 1.125) = 0.515625

Calculate the square root of the right side: 0.718070331

Break this problem into two subproblems by setting 
(x + 1.125) equal to 0.718070331 and -0.718070331.

Subproblem 1

x + 1.125 = 0.718070331 Simplifying x + 1.125 = 0.718070331 Reorder the terms: 1.125 + x = 0.718070331 Solving 1.125 + x = 0.718070331 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = 0.718070331 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = 0.718070331 + -1.125 x = 0.718070331 + -1.125 Combine like terms: 0.718070331 + -1.125 = -0.406929669 x = -0.406929669 Simplifying x = -0.406929669

Subproblem 2

x + 1.125 = -0.718070331 Simplifying x + 1.125 = -0.718070331 Reorder the terms: 1.125 + x = -0.718070331 Solving 1.125 + x = -0.718070331 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = -0.718070331 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = -0.718070331 + -1.125 x = -0.718070331 + -1.125 Combine like terms: -0.718070331 + -1.125 = -1.843070331 x = -1.843070331 Simplifying x = -1.843070331

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.406929669, -1.843070331}

See similar equations:

| 7+47=54 | | y/3−8=20 | | 6x+6=-3+5x | | 5/16-7/8 | | 7-3=10 | | -3x+7-5(x-1)=-(2x-4)-5x+5 | | V^2-33=-8 | | 15y=2(4)-4 | | x+72=3x+12 | | x=.5(x-5+2x-6) | | 5x+1.3=4x-1.2 | | 6c+2r=-18 | | X+44=41 | | 3(6)(-9)= | | 5c-5r=7.5 | | 6x^2+2xy+4y^2=0 | | 8/9×1/4= | | 16x^4-y^4= | | 8a^2-11a-9=-3 | | 2x-4=15y | | (12x^3-21x)/3x | | x=x-5+2x-6 | | 3(41-11y)+4y=7 | | 3c-21r=-12 | | 28k-5k^3-3k^4=0 | | 3k+9-k+2k= | | 63=12a | | 10x^2+6x-21=-12 | | 3/7-y=6/7 | | 4x^2-2x+3=-10x | | 16=2(13+5f) | | 10x(2x+1)-6x=13 |

Equations solver categories