(7x-8)(8x+5)=0

Simple and best practice solution for (7x-8)(8x+5)=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-8)(8x+5)=0 equation: 


Simplifying
(7x + -8)(8x + 5) = 0

Reorder the terms:
(-8 + 7x)(8x + 5) = 0

Reorder the terms:
(-8 + 7x)(5 + 8x) = 0

Multiply (-8 + 7x) * (5 + 8x)
(-8(5 + 8x) + 7x * (5 + 8x)) = 0
((5 * -8 + 8x * -8) + 7x * (5 + 8x)) = 0
((-40 + -64x) + 7x * (5 + 8x)) = 0
(-40 + -64x + (5 * 7x + 8x * 7x)) = 0
(-40 + -64x + (35x + 56x2)) = 0

Combine like terms: -64x + 35x = -29x
(-40 + -29x + 56x2) = 0

Solving
-40 + -29x + 56x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -8x)(8 + -7x) = 0


Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve:

Simplifying
-5 + -8x = 0

Solving
-5 + -8x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -8x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = 0 + 5
-8x = 0 + 5

Combine like terms: 0 + 5 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-0.625, 1.142857143}

See similar equations:

| 12-7y=42 | | qd=240-2p | | (2x-3)(3x+4)=0 | | d=240-2p | | (1-5a)(1-7a)= | | -4(2x-7)=2x+12 | | 16y+9+17y-6+13x+6+13x-3=360 | | (5b-8)(5b+8)= | | -2=-8 | | 12f+3+2-10f=2+f | | 72-8y=y | | xx=2 | | 6x=81-3x | | q^2+6q-16=0 | | 100-98=x | | 72-x=37 | | 100-98= | | 3(x-10)=-12 | | 6+2(e-3)=e-3(1-2e) | | 5x+.5=5 | | h(t)=16t^2+32t+2 | | -4=8x-7x+8 | | -5x-8=6x+2 | | 7+3=5x-5 | | (9b-2)(9b+2)= | | 10(2x)=180 | | 8w=32+4w | | 8x+20=5x+20 | | 5x+5=99-8x | | -4x+5x+1=-2 | | ln(x-5)-5=ln(x) | | 4(x-4)=-4 |

Equations solver categories