80x(3x-22)=180

Simple and best practice solution for 80x(3x-22)=180 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 80x(3x-22)=180 equation:


Simplifying
80x(3x + -22) = 180

Reorder the terms:
80x(-22 + 3x) = 180
(-22 * 80x + 3x * 80x) = 180
(-1760x + 240x2) = 180

Solving
-1760x + 240x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + -1760x + 240x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + -1760x + 240x2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-9 + -88x + 12x2) = 0

Ignore the factor 20.

Subproblem 1

Set the factor '(-9 + -88x + 12x2)' equal to zero and attempt to solve: Simplifying -9 + -88x + 12x2 = 0 Solving -9 + -88x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -0.75 + -7.333333333x + x2 = 0 Move the constant term to the right: Add '0.75' to each side of the equation. -0.75 + -7.333333333x + 0.75 + x2 = 0 + 0.75 Reorder the terms: -0.75 + 0.75 + -7.333333333x + x2 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -7.333333333x + x2 = 0 + 0.75 -7.333333333x + x2 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 -7.333333333x + x2 = 0.75 The x term is -7.333333333x. Take half its coefficient (-3.666666667). Square it (13.44444445) and add it to both sides. Add '13.44444445' to each side of the equation. -7.333333333x + 13.44444445 + x2 = 0.75 + 13.44444445 Reorder the terms: 13.44444445 + -7.333333333x + x2 = 0.75 + 13.44444445 Combine like terms: 0.75 + 13.44444445 = 14.19444445 13.44444445 + -7.333333333x + x2 = 14.19444445 Factor a perfect square on the left side: (x + -3.666666667)(x + -3.666666667) = 14.19444445 Calculate the square root of the right side: 3.767551519 Break this problem into two subproblems by setting (x + -3.666666667) equal to 3.767551519 and -3.767551519.

Subproblem 1

x + -3.666666667 = 3.767551519 Simplifying x + -3.666666667 = 3.767551519 Reorder the terms: -3.666666667 + x = 3.767551519 Solving -3.666666667 + x = 3.767551519 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.666666667' to each side of the equation. -3.666666667 + 3.666666667 + x = 3.767551519 + 3.666666667 Combine like terms: -3.666666667 + 3.666666667 = 0.000000000 0.000000000 + x = 3.767551519 + 3.666666667 x = 3.767551519 + 3.666666667 Combine like terms: 3.767551519 + 3.666666667 = 7.434218186 x = 7.434218186 Simplifying x = 7.434218186

Subproblem 2

x + -3.666666667 = -3.767551519 Simplifying x + -3.666666667 = -3.767551519 Reorder the terms: -3.666666667 + x = -3.767551519 Solving -3.666666667 + x = -3.767551519 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.666666667' to each side of the equation. -3.666666667 + 3.666666667 + x = -3.767551519 + 3.666666667 Combine like terms: -3.666666667 + 3.666666667 = 0.000000000 0.000000000 + x = -3.767551519 + 3.666666667 x = -3.767551519 + 3.666666667 Combine like terms: -3.767551519 + 3.666666667 = -0.100884852 x = -0.100884852 Simplifying x = -0.100884852

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.434218186, -0.100884852}

Solution

x = {7.434218186, -0.100884852}

See similar equations:

| 6x+35=43-5x | | 36x^2-9x+4=0 | | 35x+5y=15 | | .4x+200=8400 | | 11x-7=144 | | -23=2a-10a | | 80+x(3x-22)=180 | | -3.2a=-55.68 | | x+5-0.1x=12+.5x | | 2-4x+7x=-34 | | 8x=3x+10 | | 15x+-3=48 | | b(c+3d)= | | -2/5*22/20= | | y~4+18y~2+81y=0 | | 0.4k+0.2k+0.3=0.9 | | 3x^2-23x=28 | | 5(2d-1)+10d+25(2d-4)=455 | | A+ar=b+r | | s^2+4s+5=0 | | -64=6+10x | | 7=123 | | 7x=123 | | q-3=-3-43 | | 5k-8=17 | | 8w+26w-45=0 | | 7(x+2)=7x+14 | | 6-6(3x-4)=-60 | | 157=x*798 | | 0=3.9c | | A+at=b+r | | 2.5h-15=4n |

Equations solver categories