(5x+7)(7x-3)=0

Simple and best practice solution for (5x+7)(7x-3)=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 (5x+7)(7x-3)=0 equation: 


Simplifying
(5x + 7)(7x + -3) = 0

Reorder the terms:
(7 + 5x)(7x + -3) = 0

Reorder the terms:
(7 + 5x)(-3 + 7x) = 0

Multiply (7 + 5x) * (-3 + 7x)
(7(-3 + 7x) + 5x * (-3 + 7x)) = 0
((-3 * 7 + 7x * 7) + 5x * (-3 + 7x)) = 0
((-21 + 49x) + 5x * (-3 + 7x)) = 0
(-21 + 49x + (-3 * 5x + 7x * 5x)) = 0
(-21 + 49x + (-15x + 35x2)) = 0

Combine like terms: 49x + -15x = 34x
(-21 + 34x + 35x2) = 0

Solving
-21 + 34x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -5x)(3 + -7x) = 0


Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve:

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 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 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {-1.4, 0.4285714286}

See similar equations:

| 3y+5y=16 | | 2b^2+6-5b=0 | | (y-3/4)^=17/16 | | 5.75-(3.12+0.5)= | | Y^2+4y+16= | | 4x^2-7x-10=0 | | x^(1/3) | | 3x(x-2)(x+2)=0 | | xsquared+6x-91=0 | | (4v^2-9v-6)+(9v^2+5v+4)-(-7v^2+7v+5)= | | 3x^(4/3) | | int((x/48)-(x/24)xd) | | A=69x+kx | | 3x+7+9+3x=180 | | (x/48)-(x/24) | | (4v-9v-6)+(9v+5v+4)-(-7v+7v+5)= | | (4k-3)(7k+3)=0 | | 5[-2x+4]=8 | | 7x+5=5x+9 | | 2x^2+6x-25=0 | | 9(t-3)+3t=4(3t+5)-8 | | 2cos(x+1)=0.5 | | (2x-38)+158=180 | | 4m^2+8m=7 | | 24x^3y^7/8xy^4 | | -12-(-5)=x | | (2x-3)+71=180 | | -18-6n-4=17+12n | | (m-3)(m+3)=0 | | -12-5=x | | (2x-3)71=180 | | 2x^2+14x-1380=0 |

Equations solver categories