(X+7)(X-3)=200

Simple and best practice solution for (X+7)(X-3)=200 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-3)=200 equation: 


Simplifying
(X + 7)(X + -3) = 200

Reorder the terms:
(7 + X)(X + -3) = 200

Reorder the terms:
(7 + X)(-3 + X) = 200

Multiply (7 + X) * (-3 + X)
(7(-3 + X) + X(-3 + X)) = 200
((-3 * 7 + X * 7) + X(-3 + X)) = 200
((-21 + 7X) + X(-3 + X)) = 200
(-21 + 7X + (-3 * X + X * X)) = 200
(-21 + 7X + (-3X + X2)) = 200

Combine like terms: 7X + -3X = 4X
(-21 + 4X + X2) = 200

Solving
-21 + 4X + X2 = 200

Solving for variable 'X'.

Reorder the terms:
-21 + -200 + 4X + X2 = 200 + -200

Combine like terms: -21 + -200 = -221
-221 + 4X + X2 = 200 + -200

Combine like terms: 200 + -200 = 0
-221 + 4X + X2 = 0

Factor a trinomial.
(-17 + -1X)(13 + -1X) = 0


Subproblem 1
Set the factor '(-17 + -1X)' equal to zero and attempt to solve:

Simplifying
-17 + -1X = 0

Solving
-17 + -1X = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1X = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1X = 0 + 17
-1X = 0 + 17

Combine like terms: 0 + 17 = 17
-1X = 17

Divide each side by '-1'.
X = -17

Simplifying
X = -17

Subproblem 2
Set the factor '(13 + -1X)' equal to zero and attempt to solve:

Simplifying
13 + -1X = 0

Solving
13 + -1X = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1X = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1X = 0 + -13
-1X = 0 + -13

Combine like terms: 0 + -13 = -13
-1X = -13

Divide each side by '-1'.
X = 13

Simplifying
X = 13
Solution
X = {-17, 13}

See similar equations:

| p^2+2p-15= | | 5x+55=125 | | 4/y-5=5/2y | | 4(x-39)=12 | | xsquared-8x=105 | | 2p^2-5p-25=0 | | 3[4+5(2x+3y)]= | | log(x)=0.28 | | 2/11x-6=4/11x-12 | | P=2g+2zbysolvingG | | z^2= | | y=-39(x+2)+5 | | 5.4(s-3t)+3.6(s-4)= | | 3x+27=49x+21 | | 14a+14b+3c+5c-3b-3a= | | f(t)=15t+200 | | -x/8=-4 | | K-[-3]=28 | | -7(-11+2y)-2y=-13 | | 5(12-x)-11(4x-5)=9(-5x)-26 | | 3+8(st+3w)+3st= | | 16=3-7k-1 | | 15p+19q+p-3q-6p= | | 3x-2x+7=15 | | 12-4p=-4-6p | | 4cos^2x+4sin-1=0 | | 6.2(a+b)+2.6(a+b)+3a= | | 8t^2+3t+24=0 | | t/3-4=9 | | 8m=-12+5m | | 3x+2y+4(3x+y)= | | 2+(x+3)= |

Equations solver categories