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

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


Simplifying
(7x + -2)(7x + 7) = 0

Reorder the terms:
(-2 + 7x)(7x + 7) = 0

Reorder the terms:
(-2 + 7x)(7 + 7x) = 0

Multiply (-2 + 7x) * (7 + 7x)
(-2(7 + 7x) + 7x * (7 + 7x)) = 0
((7 * -2 + 7x * -2) + 7x * (7 + 7x)) = 0
((-14 + -14x) + 7x * (7 + 7x)) = 0
(-14 + -14x + (7 * 7x + 7x * 7x)) = 0
(-14 + -14x + (49x + 49x2)) = 0

Combine like terms: -14x + 49x = 35x
(-14 + 35x + 49x2) = 0

Solving
-14 + 35x + 49x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-2 + 5x + 7x2) = 0

Factor a trinomial.
7((-1 + -1x)(2 + -7x)) = 0

Ignore the factor 7.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-1, 0.2857142857}

See similar equations:

| x=250+0.04y | | (4x-8)(7x+21)=21 | | 2x^2-y^2-xy=0 | | 20+15x=y | | Tan^2x-secx=-1 | | 4sinx+1=3 | | gsinx+1=3 | | 57%11= | | 2a+4b+.25c=100 | | Q=ad^2-c*d | | 4x+3y=14fory | | -2+4u=-6 | | 2sinx*cosx=cosx | | x+5+3r-7+9r+3-4r= | | 5x+10=7x+13 | | 4x^2+50=10 | | 160x+190y-2400=0 | | an=5n-7 | | 7+x^2=15 | | 3X+2=2X+165 | | z^2-bz+22= | | 9x^2-11x-8=0 | | 2v^2+10=98 | | 8x=12+4x | | solveS(6S-t)=t^2forS | | 90-0.5= | | X-4=9X-19 | | (5w+4)(9+w)=0 | | -2(5n+2)=10 | | -6x^2=13x+6 | | v^2-7v+18=0 | | Log(-2a+9)=log(2x+9) |

Equations solver categories