5x(x-12)=90

Simple and best practice solution for 5x(x-12)=90 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(x-12)=90 equation:


Simplifying
5x(x + -12) = 90

Reorder the terms:
5x(-12 + x) = 90
(-12 * 5x + x * 5x) = 90
(-60x + 5x2) = 90

Solving
-60x + 5x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + -60x + 5x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + -60x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -12x + x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-18 + -12x + x2)' equal to zero and attempt to solve: Simplifying -18 + -12x + x2 = 0 Solving -18 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '18' to each side of the equation. -18 + -12x + 18 + x2 = 0 + 18 Reorder the terms: -18 + 18 + -12x + x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -12x + x2 = 0 + 18 -12x + x2 = 0 + 18 Combine like terms: 0 + 18 = 18 -12x + x2 = 18 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = 18 + 36 Reorder the terms: 36 + -12x + x2 = 18 + 36 Combine like terms: 18 + 36 = 54 36 + -12x + x2 = 54 Factor a perfect square on the left side: (x + -6)(x + -6) = 54 Calculate the square root of the right side: 7.348469228 Break this problem into two subproblems by setting (x + -6) equal to 7.348469228 and -7.348469228.

Subproblem 1

x + -6 = 7.348469228 Simplifying x + -6 = 7.348469228 Reorder the terms: -6 + x = 7.348469228 Solving -6 + x = 7.348469228 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 7.348469228 + 6 Combine like terms: -6 + 6 = 0 0 + x = 7.348469228 + 6 x = 7.348469228 + 6 Combine like terms: 7.348469228 + 6 = 13.348469228 x = 13.348469228 Simplifying x = 13.348469228

Subproblem 2

x + -6 = -7.348469228 Simplifying x + -6 = -7.348469228 Reorder the terms: -6 + x = -7.348469228 Solving -6 + x = -7.348469228 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = -7.348469228 + 6 Combine like terms: -6 + 6 = 0 0 + x = -7.348469228 + 6 x = -7.348469228 + 6 Combine like terms: -7.348469228 + 6 = -1.348469228 x = -1.348469228 Simplifying x = -1.348469228

Solution

The solution to the problem is based on the solutions from the subproblems. x = {13.348469228, -1.348469228}

Solution

x = {13.348469228, -1.348469228}

See similar equations:

| 3u+15=72 | | Whatnumber=-9 | | (2u+9)(7+u)=0 | | 147/98=x/100 | | 1+8=24 | | 15/7.7 | | 2v+9=49 | | 0.7x-0.9(x-1)=-0.7 | | -3/8=n/16 | | 4v-13=63 | | 36=3x-15 | | Z=x-50/7 | | 91=5v-9 | | -3x^2+10=0 | | X-50/7 | | 18.9*(-4)= | | 55/x=220/55 | | 11x^4y=4 | | 2y=9x+3 | | 5(6x-3)+5(16-4x)-3(3x+2)=-4 | | 10x^2+39xy-27y^2=0 | | 16=2/3x | | 4x+14=-4+6x | | 5(6x-3)+5(16-4x)=-4 | | 0.17-(-8.9)= | | X/84=25/100 | | 1/2x=9/4 | | 1.1q-5.9-2.5q=-0.4q-5.9 | | (b-4/3)=3 | | 1/8x=3/14 | | (y-8/5)=3 | | -2n=(n-8) |

Equations solver categories