2x+9=-4x^2+5x+3

Simple and best practice solution for 2x+9=-4x^2+5x+3 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+9=-4x^2+5x+3 equation:


Simplifying
2x + 9 = -4x2 + 5x + 3

Reorder the terms:
9 + 2x = -4x2 + 5x + 3

Reorder the terms:
9 + 2x = 3 + 5x + -4x2

Solving
9 + 2x = 3 + 5x + -4x2

Solving for variable 'x'.

Reorder the terms:
9 + -3 + 2x + -5x + 4x2 = 3 + 5x + -4x2 + -3 + -5x + 4x2

Combine like terms: 9 + -3 = 6
6 + 2x + -5x + 4x2 = 3 + 5x + -4x2 + -3 + -5x + 4x2

Combine like terms: 2x + -5x = -3x
6 + -3x + 4x2 = 3 + 5x + -4x2 + -3 + -5x + 4x2

Reorder the terms:
6 + -3x + 4x2 = 3 + -3 + 5x + -5x + -4x2 + 4x2

Combine like terms: 3 + -3 = 0
6 + -3x + 4x2 = 0 + 5x + -5x + -4x2 + 4x2
6 + -3x + 4x2 = 5x + -5x + -4x2 + 4x2

Combine like terms: 5x + -5x = 0
6 + -3x + 4x2 = 0 + -4x2 + 4x2
6 + -3x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
6 + -3x + 4x2 = 0

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

Divide each side by '4'.
1.5 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.75x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.75x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.75x + x2 = 0 + -1.5
-0.75x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.75x + x2 = -1.5

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -1.5 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -1.5 + 0.140625

Combine like terms: -1.5 + 0.140625 = -1.359375
0.140625 + -0.75x + x2 = -1.359375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -1.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 15-(2x-9)=6x | | 2d-6=d+25 | | 16+24=8(2f+3) | | 8a+3=a-95 | | -43-11x=41-5x | | 5+12m=7(2m-5) | | y+115=-4y+5 | | 8n-17n+-9=18 | | 19d+10=4+17d | | 12(8x+24)=-33(x-5) | | 17.24=1.57(k+8)-1.6 | | 17.1486=4/3*3.14*r^3 | | 16(4x+11)=-39(x-3) | | 2k-18=62-3k | | -13q-(-8q)-(-13)=-17 | | -2(x+8)-6=-22 | | 6(x-3)+12=13-(x+5) | | 4(r+1)+1=17 | | 8x+13=-3x+7x+1 | | 3+7x=12x-1 | | -5d+19d-(-12)=-16 | | 4x+30=2x+70 | | 479*(79)=x | | 2x+4-4x=(x-2) | | -3-6u=-19-7u | | 7.3x+2=7x-7 | | 5(-4x+9)=-15(x-2) | | -5(2t+10)=-70 | | 479x(79)=x | | 17x-20x+(-10)=-7 | | 13(6w+3)=-27 | | 6x+4-7=-5+8 |

Equations solver categories