(12-x)*(9-x)=0.78

Simple and best practice solution for (12-x)*(9-x)=0.78 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 (12-x)*(9-x)=0.78 equation:


Simplifying
(12 + -1x)(9 + -1x) = 0.78

Multiply (12 + -1x) * (9 + -1x)
(12(9 + -1x) + -1x * (9 + -1x)) = 0.78
((9 * 12 + -1x * 12) + -1x * (9 + -1x)) = 0.78
((108 + -12x) + -1x * (9 + -1x)) = 0.78
(108 + -12x + (9 * -1x + -1x * -1x)) = 0.78
(108 + -12x + (-9x + 1x2)) = 0.78

Combine like terms: -12x + -9x = -21x
(108 + -21x + 1x2) = 0.78

Solving
108 + -21x + 1x2 = 0.78

Solving for variable 'x'.

Reorder the terms:
108 + -0.78 + -21x + 1x2 = 0.78 + -0.78

Combine like terms: 108 + -0.78 = 107.22
107.22 + -21x + 1x2 = 0.78 + -0.78

Combine like terms: 0.78 + -0.78 = 0.00
107.22 + -21x + 1x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-107.22' to each side of the equation.
107.22 + -21x + -107.22 + x2 = 0.00 + -107.22

Reorder the terms:
107.22 + -107.22 + -21x + x2 = 0.00 + -107.22

Combine like terms: 107.22 + -107.22 = 0.00
0.00 + -21x + x2 = 0.00 + -107.22
-21x + x2 = 0.00 + -107.22

Combine like terms: 0.00 + -107.22 = -107.22
-21x + x2 = -107.22

The x term is -21x.  Take half its coefficient (-10.5).
Square it (110.25) and add it to both sides.

Add '110.25' to each side of the equation.
-21x + 110.25 + x2 = -107.22 + 110.25

Reorder the terms:
110.25 + -21x + x2 = -107.22 + 110.25

Combine like terms: -107.22 + 110.25 = 3.03
110.25 + -21x + x2 = 3.03

Factor a perfect square on the left side:
(x + -10.5)(x + -10.5) = 3.03

Calculate the square root of the right side: 1.740689519

Break this problem into two subproblems by setting 
(x + -10.5) equal to 1.740689519 and -1.740689519.

Subproblem 1

x + -10.5 = 1.740689519 Simplifying x + -10.5 = 1.740689519 Reorder the terms: -10.5 + x = 1.740689519 Solving -10.5 + x = 1.740689519 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + x = 1.740689519 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + x = 1.740689519 + 10.5 x = 1.740689519 + 10.5 Combine like terms: 1.740689519 + 10.5 = 12.240689519 x = 12.240689519 Simplifying x = 12.240689519

Subproblem 2

x + -10.5 = -1.740689519 Simplifying x + -10.5 = -1.740689519 Reorder the terms: -10.5 + x = -1.740689519 Solving -10.5 + x = -1.740689519 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + x = -1.740689519 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + x = -1.740689519 + 10.5 x = -1.740689519 + 10.5 Combine like terms: -1.740689519 + 10.5 = 8.759310481 x = 8.759310481 Simplifying x = 8.759310481

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.240689519, 8.759310481}

See similar equations:

| (5x-3)+(9x-6)=0 | | 9x^2+9y^2=63 | | -x+27+3x+9=9x-153 | | -x+27+3x+9=x-17 | | 3x^2-18x=-27 | | -5x-2+4x+7=0 | | 5xy-8x-10y=16y | | 20x^2+11x-30=0 | | 25x+6x+4=21x | | 3x+6x^2y^3+4y= | | 36x-24=36x+24 | | (x+-4)(x+-4)=(x+-4)(2x+-1) | | 13x+7(-3x-1)=-68 | | x^2+12x-138=0 | | (x-4)=(x-4)*(2x-1) | | 5+2m-3=7m+2-4m | | -4x^2=16 | | 3y+7=6y-56 | | x+.1=-.8 | | 11x-76=6x-6 | | (x-11)(x-11)=0 | | 4x+2+3x=2+3+2x | | a=5(x-3)-2x(x-3) | | (7-2y)(5+y)= | | 2ac-4ad+6bc-12bd=0 | | (x+2)(2x-1)= | | 7+z=8z-13 | | 3y-7= | | 8x^2+32x+24=0 | | 9p^2+30p+25=0 | | 4(x-4)=2x+2 | | X-(35-X)=5 |

Equations solver categories