(7x-4)(8x+4)=0

Simple and best practice solution for (7x-4)(8x+4)=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-4)(8x+4)=0 equation: 


Simplifying
(7x + -4)(8x + 4) = 0

Reorder the terms:
(-4 + 7x)(8x + 4) = 0

Reorder the terms:
(-4 + 7x)(4 + 8x) = 0

Multiply (-4 + 7x) * (4 + 8x)
(-4(4 + 8x) + 7x * (4 + 8x)) = 0
((4 * -4 + 8x * -4) + 7x * (4 + 8x)) = 0
((-16 + -32x) + 7x * (4 + 8x)) = 0
(-16 + -32x + (4 * 7x + 8x * 7x)) = 0
(-16 + -32x + (28x + 56x2)) = 0

Combine like terms: -32x + 28x = -4x
(-16 + -4x + 56x2) = 0

Solving
-16 + -4x + 56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + -1x + 14x2) = 0

Factor a trinomial.
4((-1 + -2x)(4 + -7x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

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

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

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

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

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Solution
x = {-0.5, 0.5714285714}

See similar equations:

| 4/5×m=1 | | 3x+11=x+21 | | 7x-10x-20=11 | | X-1/2=2x-3/5 | | 7x+9=100-x-3 | | (9pq^6-11p^4q)-(-5pq^6+p^4q^4)= | | 6bc+2bc=5bc | | 1/2(4x-10)=8 | | 6-(11-8)X2/100 | | 6-(11-80X2/100 | | 19.9=9y-9 | | y-12=o | | 2n^2=84-2n | | 4(9s-7)=36s-28 | | 12x+2y=340 | | X/4-x/3=a/2 | | 2=3(4)+b | | 3p-2=-290 | | 1/2(64)(16)= | | 1/8c=-3 | | 1/3x(-0.1)=2 | | (X/7)-2=8 | | 5y-8+y+28=8y+20-6y | | 9-4x=3x/2 | | 3x+2=-46-5x | | -2(y-4)=-2y-8 | | F(9)=12 | | 1/5*2/7*5/9 | | Y=-20x-10 | | 3/4x5/4 | | 3x+3=2y+10 | | 10y+5x+2=12 |

Equations solver categories