(x-7)(x-4)=10

Simple and best practice solution for (x-7)(x-4)=10 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-7)(x-4)=10 equation: 


Simplifying
(x + -7)(x + -4) = 10

Reorder the terms:
(-7 + x)(x + -4) = 10

Reorder the terms:
(-7 + x)(-4 + x) = 10

Multiply (-7 + x) * (-4 + x)
(-7(-4 + x) + x(-4 + x)) = 10
((-4 * -7 + x * -7) + x(-4 + x)) = 10
((28 + -7x) + x(-4 + x)) = 10
(28 + -7x + (-4 * x + x * x)) = 10
(28 + -7x + (-4x + x2)) = 10

Combine like terms: -7x + -4x = -11x
(28 + -11x + x2) = 10

Solving
28 + -11x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
28 + -10 + -11x + x2 = 10 + -10

Combine like terms: 28 + -10 = 18
18 + -11x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
18 + -11x + x2 = 0

Factor a trinomial.
(2 + -1x)(9 + -1x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {2, 9}

See similar equations:

| -3n+4=6n-14 | | -3(1+2)=5y | | 5y-x=-6 | | 28y-yw+4y^2-7w=0 | | 2w=25-3w | | 75+9=100 | | 5/3-3/2x=x/2 | | y=4(9)+3 | | (6x-12)/12x | | 9e+4=14+4e | | 6+6s-4=7s+23-4s | | .17x+.10(100-x)=13 | | 2(4x+5)=2x+19 | | 1.8=p-0.6 | | 6x-12/12x | | 13x+18=13x-18 | | X^3+135=0 | | 12x^3y-57x^2y^2-15xy^3=0 | | 15(5)+10(15)= | | 4y^2+24y+45=0 | | -4x=-(2x+21)+3 | | -2c+7=11 | | 2(4w-3)-8=4+2w | | -5=8y-6 | | 4y^2+153=0 | | 15(10)+10(5)= | | 18(x+1+8z)= | | 2e^2x=7 | | t+19=2t-11 | | A-2=8/a | | -4+3(-3x-2)=59 | | -2p-3+4=4p+7 |

Equations solver categories