(9+x)(7-x)+(9-x)(7+x)=76

Simple and best practice solution for (9+x)(7-x)+(9-x)(7+x)=76 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 (9+x)(7-x)+(9-x)(7+x)=76 equation: 


Simplifying
(9 + x)(7 + -1x) + (9 + -1x)(7 + x) = 76

Multiply (9 + x) * (7 + -1x)
(9(7 + -1x) + x(7 + -1x)) + (9 + -1x)(7 + x) = 76
((7 * 9 + -1x * 9) + x(7 + -1x)) + (9 + -1x)(7 + x) = 76
((63 + -9x) + x(7 + -1x)) + (9 + -1x)(7 + x) = 76
(63 + -9x + (7 * x + -1x * x)) + (9 + -1x)(7 + x) = 76
(63 + -9x + (7x + -1x2)) + (9 + -1x)(7 + x) = 76

Combine like terms: -9x + 7x = -2x
(63 + -2x + -1x2) + (9 + -1x)(7 + x) = 76

Multiply (9 + -1x) * (7 + x)
63 + -2x + -1x2 + (9(7 + x) + -1x * (7 + x)) = 76
63 + -2x + -1x2 + ((7 * 9 + x * 9) + -1x * (7 + x)) = 76
63 + -2x + -1x2 + ((63 + 9x) + -1x * (7 + x)) = 76
63 + -2x + -1x2 + (63 + 9x + (7 * -1x + x * -1x)) = 76
63 + -2x + -1x2 + (63 + 9x + (-7x + -1x2)) = 76

Combine like terms: 9x + -7x = 2x
63 + -2x + -1x2 + (63 + 2x + -1x2) = 76

Reorder the terms:
63 + 63 + -2x + 2x + -1x2 + -1x2 = 76

Combine like terms: 63 + 63 = 126
126 + -2x + 2x + -1x2 + -1x2 = 76

Combine like terms: -2x + 2x = 0
126 + 0 + -1x2 + -1x2 = 76
126 + -1x2 + -1x2 = 76

Combine like terms: -1x2 + -1x2 = -2x2
126 + -2x2 = 76

Solving
126 + -2x2 = 76

Solving for variable 'x'.

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

Add '-126' to each side of the equation.
126 + -126 + -2x2 = 76 + -126

Combine like terms: 126 + -126 = 0
0 + -2x2 = 76 + -126
-2x2 = 76 + -126

Combine like terms: 76 + -126 = -50
-2x2 = -50

Divide each side by '-2'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

See similar equations:

| 5x+3(2x+4)=120+2x | | (8x+4)+(15x-18)= | | 9/8(m-9) | | 10x+133=47 | | 26=7x+2-3x | | 9x-15=10x+4 | | 168=109-v | | 2u^(7/2)/7 | | 8x-48+18=200 | | 3y-39=-5(y+3) | | 7m+7=77 | | 5m/3 | | 8=57-x | | 8x[-6]+38=8x-10 | | y/6-1=5 | | 3x-38=7x-95 | | -5x+-25= | | -6(6p+3)= | | 3x+4-7=21 | | 1/3-3/4=y | | (12x-4)(3x-6)=0 | | (x^4-9x^3+41x^2-207x+422)=0 | | 65+3x=13+7x | | 4(6)-4= | | 7a-4a=18 | | 3(6)-1= | | 3x+8=2[2x+15] | | 2lnx=6 | | 33w=11w+24 | | 35y+2=22 | | x+8=13.8 | | 81=4x-19 |

Equations solver categories