4x^2-60x+132=0

Simple and best practice solution for 4x^2-60x+132=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 4x^2-60x+132=0 equation:


Simplifying
4x2 + -60x + 132 = 0

Reorder the terms:
132 + -60x + 4x2 = 0

Solving
132 + -60x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(33 + -15x + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(33 + -15x + x2)' equal to zero and attempt to solve: Simplifying 33 + -15x + x2 = 0 Solving 33 + -15x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + -15x + -33 + x2 = 0 + -33 Reorder the terms: 33 + -33 + -15x + x2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -15x + x2 = 0 + -33 -15x + x2 = 0 + -33 Combine like terms: 0 + -33 = -33 -15x + x2 = -33 The x term is -15x. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15x + 56.25 + x2 = -33 + 56.25 Reorder the terms: 56.25 + -15x + x2 = -33 + 56.25 Combine like terms: -33 + 56.25 = 23.25 56.25 + -15x + x2 = 23.25 Factor a perfect square on the left side: (x + -7.5)(x + -7.5) = 23.25 Calculate the square root of the right side: 4.82182538 Break this problem into two subproblems by setting (x + -7.5) equal to 4.82182538 and -4.82182538.

Subproblem 1

x + -7.5 = 4.82182538 Simplifying x + -7.5 = 4.82182538 Reorder the terms: -7.5 + x = 4.82182538 Solving -7.5 + x = 4.82182538 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + x = 4.82182538 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + x = 4.82182538 + 7.5 x = 4.82182538 + 7.5 Combine like terms: 4.82182538 + 7.5 = 12.32182538 x = 12.32182538 Simplifying x = 12.32182538

Subproblem 2

x + -7.5 = -4.82182538 Simplifying x + -7.5 = -4.82182538 Reorder the terms: -7.5 + x = -4.82182538 Solving -7.5 + x = -4.82182538 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + x = -4.82182538 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + x = -4.82182538 + 7.5 x = -4.82182538 + 7.5 Combine like terms: -4.82182538 + 7.5 = 2.67817462 x = 2.67817462 Simplifying x = 2.67817462

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.32182538, 2.67817462}

Solution

x = {12.32182538, 2.67817462}

See similar equations:

| X/3=-24 | | 3n^3+84n^2+81=0 | | x+2n=6n | | x-8y=-6 | | 27=x-40 | | 6(2x+8)=12x+48 | | 4x^3-18x^2-8x=0 | | -5/6*-36 | | 1/4-2/5 | | 3/16+7/8= | | Y=-3.5x+10 | | -13+3=x | | 10/20=25/49 | | -8+6x+2x^2=0 | | -7+x=18 | | 0.06(y-9)+0.18y=0.04y-0.7 | | 100+-89=121 | | 2(x-2)=-4x+26 | | 29+296+x-24=360 | | s^3+2s^2+s+2=0 | | 5n+15+2n+25=180 | | 5x^2+45x+15=0 | | -13/11-9/11=x | | 2(x-2)=-4+26 | | 4.20= | | Plus= | | 17x-8=13x+16 | | Product= | | x(x+180)=480 | | Minus= | | 5x+3x-1.3=11 | | 0.50x+0.25(30)=32.5 |

Equations solver categories