2x*2x-5x-3=0

Simple and best practice solution for 2x*2x-5x-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 2x*2x-5x-3=0 equation:


Simplifying
2x * 2x + -5x + -3 = 0

Reorder the terms for easier multiplication:
2 * 2x * x + -5x + -3 = 0

Multiply 2 * 2
4x * x + -5x + -3 = 0

Multiply x * x
4x2 + -5x + -3 = 0

Reorder the terms:
-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:

| 6+7x=x-8 | | a*a*a-a=0 | | 75(t)=5t^2+10t+75 | | 5(20+p)=3(30+p) | | 4x^2-78x+168=0 | | 3*-f=-3f | | 4x*4x-9=0 | | 6x+14=-2(-3x-7) | | k*k+9=10k | | -7(y-3)=-14 | | 5(3x-4)=4(2x-10) | | 7b+8n-4b+8+n= | | 5(m+1)=7(1-1) | | -5x^4+6x^3+5x=0 | | 3(u-6)=-3-24 | | y*y+2y-63=0 | | 12g-1=13g | | 16x^2+9x^2=10.24 | | Y(w)=-8w | | 15-x=6+5 | | X^2+18x-6400=0 | | -2x-8-7x+2=0 | | 16x^2+9x^2=9 | | 2x^2-kx+x+8=0 | | -4x-9=5x-45 | | 3(8-e)+2(e+2)=34 | | (x+2)-10=4x+6 | | 7x-4+2x=-2x+16 | | 5*6x=8*9x | | 8w^2+15w^3=0 | | (x+2)2-10=4x+6 | | 15*-12/5 |

Equations solver categories