(7x-7)(4x+7)=0

Simple and best practice solution for (7x-7)(4x+7)=0 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-7)(4x+7)=0 equation: 


Simplifying
(7x + -7)(4x + 7) = 0

Reorder the terms:
(-7 + 7x)(4x + 7) = 0

Reorder the terms:
(-7 + 7x)(7 + 4x) = 0

Multiply (-7 + 7x) * (7 + 4x)
(-7(7 + 4x) + 7x * (7 + 4x)) = 0
((7 * -7 + 4x * -7) + 7x * (7 + 4x)) = 0
((-49 + -28x) + 7x * (7 + 4x)) = 0
(-49 + -28x + (7 * 7x + 4x * 7x)) = 0
(-49 + -28x + (49x + 28x2)) = 0

Combine like terms: -28x + 49x = 21x
(-49 + 21x + 28x2) = 0

Solving
-49 + 21x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-7 + 3x + 4x2) = 0

Factor a trinomial.
7((-7 + -4x)(1 + -1x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve:

Simplifying
-7 + -4x = 0

Solving
-7 + -4x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = 0 + 7
-4x = 0 + 7

Combine like terms: 0 + 7 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

Subproblem 2
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
Solution
x = {-1.75, 1}

See similar equations:

| 5w*w=180 | | 0.16x+0.2(x-5)=0.01(5x-4) | | 6x+8y+96=0 | | X-0.4=x | | 7(v+2)=-5v-22 | | 32x+12y=-6 | | 6=7u-u | | 7(v+2)=-5v+22 | | [4x-3]=x+2 | | 2(z-3)-3=3(z-6) | | 2x^2+3y^2-8=7 | | 8v-38=-7(v-1) | | -7(2n+9)=13n | | -6(v-8)=-8v+46 | | y^2-2xy+x^2-6y-6x+3=0 | | -6(v-8)=-8v-46 | | [x^2-2x]=3 | | 4c-2(c-6)=4+3c | | 5(y+3)+6y=26 | | 5x+15y=2 | | 30+20=0 | | 52+2x=9809 | | 6v+8(v-8)=-8 | | -4.5r-6=-30 | | P+0.09p=119.9 | | 29=2w+3(w+8) | | 2x+9-4x=-3x+15 | | 8-6x-3=-12+4x-13 | | 14x=7(x+7) | | -2.3a+3=11 | | 4a^2+2a-72=0 | | -3x-14=5x+10 |

Equations solver categories