2x+5=16x^2-48x+36

Simple and best practice solution for 2x+5=16x^2-48x+36 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+5=16x^2-48x+36 equation:


Simplifying
2x + 5 = 16x2 + -48x + 36

Reorder the terms:
5 + 2x = 16x2 + -48x + 36

Reorder the terms:
5 + 2x = 36 + -48x + 16x2

Solving
5 + 2x = 36 + -48x + 16x2

Solving for variable 'x'.

Reorder the terms:
5 + -36 + 2x + 48x + -16x2 = 36 + -48x + 16x2 + -36 + 48x + -16x2

Combine like terms: 5 + -36 = -31
-31 + 2x + 48x + -16x2 = 36 + -48x + 16x2 + -36 + 48x + -16x2

Combine like terms: 2x + 48x = 50x
-31 + 50x + -16x2 = 36 + -48x + 16x2 + -36 + 48x + -16x2

Reorder the terms:
-31 + 50x + -16x2 = 36 + -36 + -48x + 48x + 16x2 + -16x2

Combine like terms: 36 + -36 = 0
-31 + 50x + -16x2 = 0 + -48x + 48x + 16x2 + -16x2
-31 + 50x + -16x2 = -48x + 48x + 16x2 + -16x2

Combine like terms: -48x + 48x = 0
-31 + 50x + -16x2 = 0 + 16x2 + -16x2
-31 + 50x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-31 + 50x + -16x2 = 0

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
1.9375 + -3.125x + x2 = 0

Move the constant term to the right:

Add '-1.9375' to each side of the equation.
1.9375 + -3.125x + -1.9375 + x2 = 0 + -1.9375

Reorder the terms:
1.9375 + -1.9375 + -3.125x + x2 = 0 + -1.9375

Combine like terms: 1.9375 + -1.9375 = 0.0000
0.0000 + -3.125x + x2 = 0 + -1.9375
-3.125x + x2 = 0 + -1.9375

Combine like terms: 0 + -1.9375 = -1.9375
-3.125x + x2 = -1.9375

The x term is -3.125x.  Take half its coefficient (-1.5625).
Square it (2.44140625) and add it to both sides.

Add '2.44140625' to each side of the equation.
-3.125x + 2.44140625 + x2 = -1.9375 + 2.44140625

Reorder the terms:
2.44140625 + -3.125x + x2 = -1.9375 + 2.44140625

Combine like terms: -1.9375 + 2.44140625 = 0.50390625
2.44140625 + -3.125x + x2 = 0.50390625

Factor a perfect square on the left side:
(x + -1.5625)(x + -1.5625) = 0.50390625

Calculate the square root of the right side: 0.709863543

Break this problem into two subproblems by setting 
(x + -1.5625) equal to 0.709863543 and -0.709863543.

Subproblem 1

x + -1.5625 = 0.709863543 Simplifying x + -1.5625 = 0.709863543 Reorder the terms: -1.5625 + x = 0.709863543 Solving -1.5625 + x = 0.709863543 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5625' to each side of the equation. -1.5625 + 1.5625 + x = 0.709863543 + 1.5625 Combine like terms: -1.5625 + 1.5625 = 0.0000 0.0000 + x = 0.709863543 + 1.5625 x = 0.709863543 + 1.5625 Combine like terms: 0.709863543 + 1.5625 = 2.272363543 x = 2.272363543 Simplifying x = 2.272363543

Subproblem 2

x + -1.5625 = -0.709863543 Simplifying x + -1.5625 = -0.709863543 Reorder the terms: -1.5625 + x = -0.709863543 Solving -1.5625 + x = -0.709863543 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5625' to each side of the equation. -1.5625 + 1.5625 + x = -0.709863543 + 1.5625 Combine like terms: -1.5625 + 1.5625 = 0.0000 0.0000 + x = -0.709863543 + 1.5625 x = -0.709863543 + 1.5625 Combine like terms: -0.709863543 + 1.5625 = 0.852636457 x = 0.852636457 Simplifying x = 0.852636457

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.272363543, 0.852636457}

See similar equations:

| (2x+y-32)(2x+y+32)= | | y^4(y^2+2y-4)= | | d/dx(e^x(cosx)) | | (ab^2-c^3)(ab^2+c^3)= | | 3(2x+5)=4(25+2y) | | (3-x^2)(9+3x^2+x^4)(27+x^6)= | | (7)(9+3x^2+x^4)(27+x^6)= | | 3x+31=7x-1 | | (a^4by-c^2)(a^4by-c^2)= | | 9x^2+54x+81=256x-192 | | (5y-4x)(5y+4x)= | | 4x^2y(2xy-3xy^2+5x^2)= | | cos(12x)= | | M-4n=-8 | | x^(3/2)=9x^(3/4)-20 | | 5x^(6/5)=14x^(3/5)-8 | | x/.25=625 | | -5x+3=16x^2+56+49 | | -7x-10=64(-2x-2) | | qd=500-10p | | 8a^2+10a-13=0 | | B/4=3/2 | | 6x^(1/2)=14x^(1/4)-8 | | 4-3x=4-9x | | x=3x^(1/2)-2 | | 6+6=8I | | C(x)=30.50-0.25x | | 42x=32 | | 4x^2-8x+4=36(-5x-3) | | 5x-3=9x^2-24+16 | | 5x^8/5=11x^4/5-2 | | 4w+60+2w=460 |

Equations solver categories