(5x+3-4x^2)=

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


Simplifying
(5x + 3 + -4x2) = 0

Reorder the terms:
(3 + 5x + -4x2) = 0

Remove parenthesis around (3 + 5x + -4x2)
3 + 5x + -4x2 = 0

Solving
3 + 5x + -4x2 = 0

Solving for variable 'x'.

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

Divide each side by '-4'.
-0.75 + -1.25x + x2 = 0

Move the constant term to the right:

Add '0.75' to each side of the equation.
-0.75 + -1.25x + 0.75 + x2 = 0 + 0.75

Reorder the terms:
-0.75 + 0.75 + -1.25x + x2 = 0 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + -1.25x + x2 = 0 + 0.75
-1.25x + x2 = 0 + 0.75

Combine like terms: 0 + 0.75 = 0.75
-1.25x + x2 = 0.75

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = 0.75 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = 0.75 + 0.390625

Combine like terms: 0.75 + 0.390625 = 1.140625
0.390625 + -1.25x + x2 = 1.140625

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = 1.140625

Calculate the square root of the right side: 1.068000468

Break this problem into two subproblems by setting 
(x + -0.625) equal to 1.068000468 and -1.068000468.

Subproblem 1

x + -0.625 = 1.068000468 Simplifying x + -0.625 = 1.068000468 Reorder the terms: -0.625 + x = 1.068000468 Solving -0.625 + x = 1.068000468 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = 1.068000468 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = 1.068000468 + 0.625 x = 1.068000468 + 0.625 Combine like terms: 1.068000468 + 0.625 = 1.693000468 x = 1.693000468 Simplifying x = 1.693000468

Subproblem 2

x + -0.625 = -1.068000468 Simplifying x + -0.625 = -1.068000468 Reorder the terms: -0.625 + x = -1.068000468 Solving -0.625 + x = -1.068000468 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = -1.068000468 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = -1.068000468 + 0.625 x = -1.068000468 + 0.625 Combine like terms: -1.068000468 + 0.625 = -0.443000468 x = -0.443000468 Simplifying x = -0.443000468

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.693000468, -0.443000468}

See similar equations:

| 3/x-1+2=10 | | 5x^2+13y-6=0 | | 3/x-1=8 | | 2x/11+11x/2=4 | | 50x+5= | | 5x-3=4x-6 | | -4x=x-32 | | 9*0-3= | | 1/5k+1/4k=1 | | 22-[3+8y-2(y+4)]= | | 5(5x-8)=50 | | 6x+20=5x+35 | | 2/3m-11=64-41/3m | | 8x-15-6x=85-39 | | 3(1x-1)=9 | | 5(x+-2)+-6=24 | | 7(2x+7)=105 | | 2-5l=20-8l | | 5(-11+3x)-7x=1 | | 2-(-7x+4)=-8 | | 3(2x-4)=84 | | 6(-1x-1)=42 | | 3b-(8)=14-(8b) | | 2(x+4)2=36 | | 2(x+4)2=32 | | 2(-4x+9)=-22 | | -7+8=x+0 | | 10x^4+60x^3+270x^2=0 | | 2x+3=-7x+66 | | 9+x=2x+15 | | 8x^2-56x+160= | | 5w+4=9w+4 |

Equations solver categories