(x+5)(x+3)=(x-7)(x-4)

Simple and best practice solution for (x+5)(x+3)=(x-7)(x-4) 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+5)(x+3)=(x-7)(x-4) equation: 


Simplifying
(x + 5)(x + 3) = (x + -7)(x + -4)

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

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

Multiply (5 + x) * (3 + x)
(5(3 + x) + x(3 + x)) = (x + -7)(x + -4)
((3 * 5 + x * 5) + x(3 + x)) = (x + -7)(x + -4)
((15 + 5x) + x(3 + x)) = (x + -7)(x + -4)
(15 + 5x + (3 * x + x * x)) = (x + -7)(x + -4)
(15 + 5x + (3x + x2)) = (x + -7)(x + -4)

Combine like terms: 5x + 3x = 8x
(15 + 8x + x2) = (x + -7)(x + -4)

Reorder the terms:
15 + 8x + x2 = (-7 + x)(x + -4)

Reorder the terms:
15 + 8x + x2 = (-7 + x)(-4 + x)

Multiply (-7 + x) * (-4 + x)
15 + 8x + x2 = (-7(-4 + x) + x(-4 + x))
15 + 8x + x2 = ((-4 * -7 + x * -7) + x(-4 + x))
15 + 8x + x2 = ((28 + -7x) + x(-4 + x))
15 + 8x + x2 = (28 + -7x + (-4 * x + x * x))
15 + 8x + x2 = (28 + -7x + (-4x + x2))

Combine like terms: -7x + -4x = -11x
15 + 8x + x2 = (28 + -11x + x2)

Add '-1x2' to each side of the equation.
15 + 8x + x2 + -1x2 = 28 + -11x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 + 8x + 0 = 28 + -11x + x2 + -1x2
15 + 8x = 28 + -11x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 + 8x = 28 + -11x + 0
15 + 8x = 28 + -11x

Solving
15 + 8x = 28 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
15 + 8x + 11x = 28 + -11x + 11x

Combine like terms: 8x + 11x = 19x
15 + 19x = 28 + -11x + 11x

Combine like terms: -11x + 11x = 0
15 + 19x = 28 + 0
15 + 19x = 28

Add '-15' to each side of the equation.
15 + -15 + 19x = 28 + -15

Combine like terms: 15 + -15 = 0
0 + 19x = 28 + -15
19x = 28 + -15

Combine like terms: 28 + -15 = 13
19x = 13

Divide each side by '19'.
x = 0.6842105263

Simplifying
x = 0.6842105263

See similar equations:

| D(sin2)/dx | | (4x+36)=(3x-3) | | A/BxC/D= | | F(x)=X^2+2x-2 | | 6(x-1)+1=3(x+1)-8 | | 6x+2.5y=24 | | 4x=30x-6 | | 0.09xX=83.83 | | x+(-38)=15 | | (2x+18)=(4x-14) | | 1.4y=2.8x+1 | | u(-3/5)=-1/2 | | r-13=5 | | 1.2x+y=2 | | b+16=11 | | x-(-27)=30 | | 6x-4=4(x-1)+2 | | 2+3a=-28 | | 18x-6=9x-3 | | 9x-3=18x-6 | | y^2/36-x^2/4=1 | | 541x-64=-863 | | 61=(4x+1) | | 0.09xX=62.61 | | X/0.7 | | -9+8x=7x+1 | | 3x+4whenx=4 | | a*t+a*z=45z+67 | | (3x-48y)=156 | | 2x-5=10+27 | | In(1.0208)=0.0205 | | 3w+8-w=-6v-1 |

Equations solver categories