-1x^2+3x+3=0

Simple and best practice solution for -1x^2+3x+3=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 -1x^2+3x+3=0 equation:


Simplifying
-1x2 + 3x + 3 = 0

Reorder the terms:
3 + 3x + -1x2 = 0

Solving
3 + 3x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-3 + -3x + x2 = 0

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + -3x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + -3x + x2 = 0 + 3

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

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

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = 3 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 3 + 2.25

Combine like terms: 3 + 2.25 = 5.25
2.25 + -3x + x2 = 5.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 5.25

Calculate the square root of the right side: 2.291287847

Break this problem into two subproblems by setting 
(x + -1.5) equal to 2.291287847 and -2.291287847.

Subproblem 1

x + -1.5 = 2.291287847 Simplifying x + -1.5 = 2.291287847 Reorder the terms: -1.5 + x = 2.291287847 Solving -1.5 + x = 2.291287847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 2.291287847 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 2.291287847 + 1.5 x = 2.291287847 + 1.5 Combine like terms: 2.291287847 + 1.5 = 3.791287847 x = 3.791287847 Simplifying x = 3.791287847

Subproblem 2

x + -1.5 = -2.291287847 Simplifying x + -1.5 = -2.291287847 Reorder the terms: -1.5 + x = -2.291287847 Solving -1.5 + x = -2.291287847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -2.291287847 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -2.291287847 + 1.5 x = -2.291287847 + 1.5 Combine like terms: -2.291287847 + 1.5 = -0.791287847 x = -0.791287847 Simplifying x = -0.791287847

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.791287847, -0.791287847}

See similar equations:

| -19x=475 | | 7x^2+15x-3=0 | | 16b-3(b-7)= | | 12=a-3.1 | | -18+n=-27 | | 10x=2x^2+2x | | 5/12-2) | | 4.3t-21t-2.3=7.6 | | (x)=x^3+2x^2+4x+8 | | S=1/2at2 | | S=1/2at2= | | 10x=x^2+3x+2 | | f(28)=24 | | 35+0.40m=20+0.55m | | 6(8x-2)=200 | | d(14)=7 | | 32x^2-24x+4=0 | | 6+4=2110 | | 9(2x+1)=100 | | 25x^2-30x+h=0 | | (4x-8)(x+5)=(5x-2)(x-2) | | 3(9x+5)=75 | | 2(2v-4)=4(3-v)-44 | | 8(x+3)=2(x+12)+10 | | 3^2/2*4 | | 3^2/4*2 | | 6x^4-11x+3=0 | | 50=10+5ln(3x+6) | | y=-x^2+4x+11 | | 8x^4-28W^3-16W^2=0 | | 2805-x=1.4(x) | | 45+36=165 |

Equations solver categories