(32x-1)(9x)=27

Simple and best practice solution for (32x-1)(9x)=27 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 (32x-1)(9x)=27 equation:


Simplifying
(32x + -1)(9x) = 27

Reorder the terms:
(-1 + 32x)(9x) = 27

Remove parenthesis around (9x)
(-1 + 32x) * 9x = 27

Reorder the terms for easier multiplication:
9x(-1 + 32x) = 27
(-1 * 9x + 32x * 9x) = 27
(-9x + 288x2) = 27

Solving
-9x + 288x2 = 27

Solving for variable 'x'.

Reorder the terms:
-27 + -9x + 288x2 = 27 + -27

Combine like terms: 27 + -27 = 0
-27 + -9x + 288x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-3 + -1x + 32x2) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(-3 + -1x + 32x2)' equal to zero and attempt to solve: Simplifying -3 + -1x + 32x2 = 0 Solving -3 + -1x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. -0.09375 + -0.03125x + x2 = 0 Move the constant term to the right: Add '0.09375' to each side of the equation. -0.09375 + -0.03125x + 0.09375 + x2 = 0 + 0.09375 Reorder the terms: -0.09375 + 0.09375 + -0.03125x + x2 = 0 + 0.09375 Combine like terms: -0.09375 + 0.09375 = 0.00000 0.00000 + -0.03125x + x2 = 0 + 0.09375 -0.03125x + x2 = 0 + 0.09375 Combine like terms: 0 + 0.09375 = 0.09375 -0.03125x + x2 = 0.09375 The x term is -0.03125x. Take half its coefficient (-0.015625). Square it (0.000244140625) and add it to both sides. Add '0.000244140625' to each side of the equation. -0.03125x + 0.000244140625 + x2 = 0.09375 + 0.000244140625 Reorder the terms: 0.000244140625 + -0.03125x + x2 = 0.09375 + 0.000244140625 Combine like terms: 0.09375 + 0.000244140625 = 0.093994140625 0.000244140625 + -0.03125x + x2 = 0.093994140625 Factor a perfect square on the left side: (x + -0.015625)(x + -0.015625) = 0.093994140625 Calculate the square root of the right side: 0.306584639 Break this problem into two subproblems by setting (x + -0.015625) equal to 0.306584639 and -0.306584639.

Subproblem 1

x + -0.015625 = 0.306584639 Simplifying x + -0.015625 = 0.306584639 Reorder the terms: -0.015625 + x = 0.306584639 Solving -0.015625 + x = 0.306584639 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.015625' to each side of the equation. -0.015625 + 0.015625 + x = 0.306584639 + 0.015625 Combine like terms: -0.015625 + 0.015625 = 0.000000 0.000000 + x = 0.306584639 + 0.015625 x = 0.306584639 + 0.015625 Combine like terms: 0.306584639 + 0.015625 = 0.322209639 x = 0.322209639 Simplifying x = 0.322209639

Subproblem 2

x + -0.015625 = -0.306584639 Simplifying x + -0.015625 = -0.306584639 Reorder the terms: -0.015625 + x = -0.306584639 Solving -0.015625 + x = -0.306584639 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.015625' to each side of the equation. -0.015625 + 0.015625 + x = -0.306584639 + 0.015625 Combine like terms: -0.015625 + 0.015625 = 0.000000 0.000000 + x = -0.306584639 + 0.015625 x = -0.306584639 + 0.015625 Combine like terms: -0.306584639 + 0.015625 = -0.290959639 x = -0.290959639 Simplifying x = -0.290959639

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.322209639, -0.290959639}

Solution

x = {0.322209639, -0.290959639}

See similar equations:

| 6p-15=21 | | (x+4)(x-2)(x+3i)(x-3i)=0 | | (23x)(4x-1)=8 | | 20+2x+6x=180 | | 1/6x^2-x/3-4/3 | | -5(x+4)=-2(2x+2) | | x^4-4x^3-20x^2-23x-5=0 | | 3x^2+2xy+3y^2-4=0 | | y=0.497x-974.7 | | -6x-22=6x+2 | | 1+4sinx=4cosx | | 25=-2p-5 | | 25-1x^2=225 | | 1/2d=70 | | 4x^3y-20x^2y-16xy= | | Y+3=-2x | | 4*y^3*xy+y^2=0 | | 6x^3y+12x^2y-18xy= | | k+7x^2=289 | | 4*y^3*dy+y^2=0 | | 7x+18=-5x-6 | | 16x^3-10x^2-18x= | | 2x^3+7x=9x^2 | | 180=40x+5x+14 | | 10-6v=140 | | c-12=12 | | 13X+87=-10x+15+5x | | -2x-15=-5x | | 0.626+3.46= | | -2x-15=-15x | | 6x+35+9x=15(x+4)-25o | | 3y/10-7=y/5-6 |

Equations solver categories