5x^2-12x=64

Simple and best practice solution for 5x^2-12x=64 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^2-12x=64 equation:


Simplifying
5x2 + -12x = 64

Reorder the terms:
-12x + 5x2 = 64

Solving
-12x + 5x2 = 64

Solving for variable 'x'.

Reorder the terms:
-64 + -12x + 5x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + -12x + 5x2 = 0

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

Divide each side by '5'.
-12.8 + -2.4x + x2 = 0

Move the constant term to the right:

Add '12.8' to each side of the equation.
-12.8 + -2.4x + 12.8 + x2 = 0 + 12.8

Reorder the terms:
-12.8 + 12.8 + -2.4x + x2 = 0 + 12.8

Combine like terms: -12.8 + 12.8 = 0.0
0.0 + -2.4x + x2 = 0 + 12.8
-2.4x + x2 = 0 + 12.8

Combine like terms: 0 + 12.8 = 12.8
-2.4x + x2 = 12.8

The x term is -2.4x.  Take half its coefficient (-1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
-2.4x + 1.44 + x2 = 12.8 + 1.44

Reorder the terms:
1.44 + -2.4x + x2 = 12.8 + 1.44

Combine like terms: 12.8 + 1.44 = 14.24
1.44 + -2.4x + x2 = 14.24

Factor a perfect square on the left side:
(x + -1.2)(x + -1.2) = 14.24

Calculate the square root of the right side: 3.773592453

Break this problem into two subproblems by setting 
(x + -1.2) equal to 3.773592453 and -3.773592453.

Subproblem 1

x + -1.2 = 3.773592453 Simplifying x + -1.2 = 3.773592453 Reorder the terms: -1.2 + x = 3.773592453 Solving -1.2 + x = 3.773592453 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + x = 3.773592453 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + x = 3.773592453 + 1.2 x = 3.773592453 + 1.2 Combine like terms: 3.773592453 + 1.2 = 4.973592453 x = 4.973592453 Simplifying x = 4.973592453

Subproblem 2

x + -1.2 = -3.773592453 Simplifying x + -1.2 = -3.773592453 Reorder the terms: -1.2 + x = -3.773592453 Solving -1.2 + x = -3.773592453 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + x = -3.773592453 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + x = -3.773592453 + 1.2 x = -3.773592453 + 1.2 Combine like terms: -3.773592453 + 1.2 = -2.573592453 x = -2.573592453 Simplifying x = -2.573592453

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.973592453, -2.573592453}

See similar equations:

| 5(1+102x)=8 | | 2x^2+9=x^2+36 | | X^2-81x+200=0 | | Z^2+6z-8=(2z+1)(z-8) | | -44x=12+-14y | | x^2-.666x-2.888=0 | | -44x+14y=12 | | 8x+10=2x+34 | | 7x-2=4x | | x/3+x/3=2 | | x-3x-4x=-64 | | x+5=4x-60 | | -c+3=-2c+6 | | 16a^2-121b^2=0 | | 6x-12+4x-1=-x-7+12-3x+5 | | 0=n^2+200 | | -5n+4=5n+34 | | 2x-26=x+3 | | 8(4x-12)=8x-18 | | 9f+7=-8f+24 | | 2x-29=x+2 | | 2x-10=5x+9 | | 0=n^2+60n+1600 | | 2x-27=x+2 | | 8(x+2)=3(x-5)-7(x+3) | | 5p+7+14p+40= | | 3q=3q-3 | | 0=n*2+60n+1600 | | 2x-27+x+2= | | .19-5m=34 | | .75m+3=-12 | | (2x-27)+(x+2)= |

Equations solver categories