(7x-4)(x+9)=0

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Solution for (7x-4)(x+9)=0 equation: 


Simplifying
(7x + -4)(x + 9) = 0

Reorder the terms:
(-4 + 7x)(x + 9) = 0

Reorder the terms:
(-4 + 7x)(9 + x) = 0

Multiply (-4 + 7x) * (9 + x)
(-4(9 + x) + 7x * (9 + x)) = 0
((9 * -4 + x * -4) + 7x * (9 + x)) = 0
((-36 + -4x) + 7x * (9 + x)) = 0
(-36 + -4x + (9 * 7x + x * 7x)) = 0
(-36 + -4x + (63x + 7x2)) = 0

Combine like terms: -4x + 63x = 59x
(-36 + 59x + 7x2) = 0

Solving
-36 + 59x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x)(4 + -7x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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 = {-9, 0.5714285714}

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