(x-4)(2x+7)=(x-4)(x+3)

Simple and best practice solution for (x-4)(2x+7)=(x-4)(x+3) 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-4)(2x+7)=(x-4)(x+3) equation: 


Simplifying
(x + -4)(2x + 7) = (x + -4)(x + 3)

Reorder the terms:
(-4 + x)(2x + 7) = (x + -4)(x + 3)

Reorder the terms:
(-4 + x)(7 + 2x) = (x + -4)(x + 3)

Multiply (-4 + x) * (7 + 2x)
(-4(7 + 2x) + x(7 + 2x)) = (x + -4)(x + 3)
((7 * -4 + 2x * -4) + x(7 + 2x)) = (x + -4)(x + 3)
((-28 + -8x) + x(7 + 2x)) = (x + -4)(x + 3)
(-28 + -8x + (7 * x + 2x * x)) = (x + -4)(x + 3)
(-28 + -8x + (7x + 2x2)) = (x + -4)(x + 3)

Combine like terms: -8x + 7x = -1x
(-28 + -1x + 2x2) = (x + -4)(x + 3)

Reorder the terms:
-28 + -1x + 2x2 = (-4 + x)(x + 3)

Reorder the terms:
-28 + -1x + 2x2 = (-4 + x)(3 + x)

Multiply (-4 + x) * (3 + x)
-28 + -1x + 2x2 = (-4(3 + x) + x(3 + x))
-28 + -1x + 2x2 = ((3 * -4 + x * -4) + x(3 + x))
-28 + -1x + 2x2 = ((-12 + -4x) + x(3 + x))
-28 + -1x + 2x2 = (-12 + -4x + (3 * x + x * x))
-28 + -1x + 2x2 = (-12 + -4x + (3x + x2))

Combine like terms: -4x + 3x = -1x
-28 + -1x + 2x2 = (-12 + -1x + x2)

Add 'x' to each side of the equation.
-28 + -1x + x + 2x2 = -12 + -1x + x + x2

Combine like terms: -1x + x = 0
-28 + 0 + 2x2 = -12 + -1x + x + x2
-28 + 2x2 = -12 + -1x + x + x2

Combine like terms: -1x + x = 0
-28 + 2x2 = -12 + 0 + x2
-28 + 2x2 = -12 + x2

Solving
-28 + 2x2 = -12 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-28 + 2x2 + -1x2 = -12 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-28 + 1x2 = -12 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + 1x2 = -12 + 0
-28 + 1x2 = -12

Add '28' to each side of the equation.
-28 + 28 + 1x2 = -12 + 28

Combine like terms: -28 + 28 = 0
0 + 1x2 = -12 + 28
1x2 = -12 + 28

Combine like terms: -12 + 28 = 16
1x2 = 16

Divide each side by '1'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

See similar equations:

| 14-w/7=28 | | 1/3(2y-9) | | 4.5-6i=-.21 | | N+8n=-15 | | (5t-4)(t+1)=(2t-9)(t+1) | | Q=3p-15 | | x(1-y^2)dx+y(1-x^2)dy=0 | | -2x^3+5x^2+9=0 | | log(x^2)=4.95 | | logx^2=4.95 | | 6(y-5)=-12 | | x+5y=-18 | | 8=11x-8 | | 2r+4ty-5r+3x-4ry= | | x-y=x/3=6y/4-6/7 | | X+-2+72=180 | | X^2-x+1=4x-3 | | (-x^2+1)=0 | | 9x(2x+2)(3x+1)=0 | | 4x^2-35x+39=-8x+4 | | 9x(2x-2)(3x+1)=0 | | 15x-27x= | | 3/x^4 | | solvex^2-2x-5=x^3-2x^2-5x-9 | | y=1.7 | | 3n+4=61 | | 5s+34=99 | | 2x+4y-94=0 | | 7/10w-18=5/1/5w | | 7=79 | | 0+90*5+-30+-40*0+60= | | 0+50*1+-60+-60*0+20= |

Equations solver categories