(x-10)(x-4)=-9

Simple and best practice solution for (x-10)(x-4)=-9 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 (x-10)(x-4)=-9 equation: 


Simplifying
(x + -10)(x + -4) = -9

Reorder the terms:
(-10 + x)(x + -4) = -9

Reorder the terms:
(-10 + x)(-4 + x) = -9

Multiply (-10 + x) * (-4 + x)
(-10(-4 + x) + x(-4 + x)) = -9
((-4 * -10 + x * -10) + x(-4 + x)) = -9
((40 + -10x) + x(-4 + x)) = -9
(40 + -10x + (-4 * x + x * x)) = -9
(40 + -10x + (-4x + x2)) = -9

Combine like terms: -10x + -4x = -14x
(40 + -14x + x2) = -9

Solving
40 + -14x + x2 = -9

Solving for variable 'x'.

Reorder the terms:
40 + 9 + -14x + x2 = -9 + 9

Combine like terms: 40 + 9 = 49
49 + -14x + x2 = -9 + 9

Combine like terms: -9 + 9 = 0
49 + -14x + x2 = 0

Factor a trinomial.
(7 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {7, 7}

See similar equations:

| y^2-12y=-33 | | 6x^2-160=0 | | 4v^2-9v=9 | | y=-2x^2+4x+4 | | 4(x+1)=-x+19 | | t(3+2)-6(t-5)-11=6 | | -7z-9=141 | | 8x+7-7x=14 | | 9-10x=99-31x | | 2b^2-b^2= | | 5a+3=5 | | x^2+20x+44=0 | | h=80-4t | | -(x-3)=4x | | h=70+6t | | 4x^3+9x-3=y | | h=60+16t | | 15-2*4= | | 5x-9=-59 | | 14x^2-24x-12=0 | | 9y^5+6y^4+y^3+3y+1=0 | | -2(3n+2)=12 | | y+c*y+c= | | (x+10)+(2x)+(2x-30)= | | (2x)+(2x-30)+(x+10)=180 | | (2x-30)= | | 11y=10(y+8) | | -5+15=17x-2-16x | | -3(4y-7)+2(2y+7)= | | -8-5=10x+10-9x | | 3(2x-5)=2+4(3-x) | | -7c+4=-3 |

Equations solver categories