(9x-14)(7x+4)=

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Solution for (9x-14)(7x+4)= equation: 


Simplifying
(9x + -14)(7x + 4) = 0

Reorder the terms:
(-14 + 9x)(7x + 4) = 0

Reorder the terms:
(-14 + 9x)(4 + 7x) = 0

Multiply (-14 + 9x) * (4 + 7x)
(-14(4 + 7x) + 9x * (4 + 7x)) = 0
((4 * -14 + 7x * -14) + 9x * (4 + 7x)) = 0
((-56 + -98x) + 9x * (4 + 7x)) = 0
(-56 + -98x + (4 * 9x + 7x * 9x)) = 0
(-56 + -98x + (36x + 63x2)) = 0

Combine like terms: -98x + 36x = -62x
(-56 + -62x + 63x2) = 0

Solving
-56 + -62x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -7x)(14 + -9x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(14 + -9x)' equal to zero and attempt to solve:

Simplifying
14 + -9x = 0

Solving
14 + -9x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -9x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = 0 + -14
-9x = 0 + -14

Combine like terms: 0 + -14 = -14
-9x = -14

Divide each side by '-9'.
x = 1.555555556

Simplifying
x = 1.555555556
Solution
x = {-0.5714285714, 1.555555556}

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