(2x-3)(x+7)=84

Simple and best practice solution for (2x-3)(x+7)=84 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 (2x-3)(x+7)=84 equation: 


Simplifying
(2x + -3)(x + 7) = 84

Reorder the terms:
(-3 + 2x)(x + 7) = 84

Reorder the terms:
(-3 + 2x)(7 + x) = 84

Multiply (-3 + 2x) * (7 + x)
(-3(7 + x) + 2x * (7 + x)) = 84
((7 * -3 + x * -3) + 2x * (7 + x)) = 84
((-21 + -3x) + 2x * (7 + x)) = 84
(-21 + -3x + (7 * 2x + x * 2x)) = 84
(-21 + -3x + (14x + 2x2)) = 84

Combine like terms: -3x + 14x = 11x
(-21 + 11x + 2x2) = 84

Solving
-21 + 11x + 2x2 = 84

Solving for variable 'x'.

Reorder the terms:
-21 + -84 + 11x + 2x2 = 84 + -84

Combine like terms: -21 + -84 = -105
-105 + 11x + 2x2 = 84 + -84

Combine like terms: 84 + -84 = 0
-105 + 11x + 2x2 = 0

Factor a trinomial.
(-21 + -2x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-21 + -2x)' equal to zero and attempt to solve:

Simplifying
-21 + -2x = 0

Solving
-21 + -2x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -2x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -2x = 0 + 21
-2x = 0 + 21

Combine like terms: 0 + 21 = 21
-2x = 21

Divide each side by '-2'.
x = -10.5

Simplifying
x = -10.5

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-10.5, 5}

See similar equations:

| -15=5(3(3.5)-10)-5(3.50) | | 2(9j+7)= | | 4y-6+y+30=7+5y+23-3y | | =2x^2+3 | | -7x-3(4x-16)=-123 | | 6=x-27 | | 1-12=x | | 9(8p-8)= | | -5/19p=-4 | | 15x+48=60 | | 3(x-1)+7=2(x+1) | | 42=7(2*x) | | x/9=20 | | 3y-9=13+y/8 | | 10+y=43 | | 2(x+10)=60 | | 16t^2+72t+81=0 | | 2n/3=12 | | 6-23z-4z^2=0 | | -15=5(3(3.5)-10)-5q | | 6x-6(3x-12)=168 | | x+8=-8x | | y=-1/4x+3 | | 144=x(3*4) | | 4(3+2x)=46 | | (3xy^2)+(2x)+(4y^2)-(7xy^2)= | | 3a+9=4a+30 | | -4=2y+3x | | (5u-35)(u^2+9u+18)=0 | | 10-10X=78-38x | | (2c+6)(8)= | | x(2x+5)=420 |

Equations solver categories