(4x+9)(14x-17)=0

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Solution for (4x+9)(14x-17)=0 equation: 


Simplifying
(4x + 9)(14x + -17) = 0

Reorder the terms:
(9 + 4x)(14x + -17) = 0

Reorder the terms:
(9 + 4x)(-17 + 14x) = 0

Multiply (9 + 4x) * (-17 + 14x)
(9(-17 + 14x) + 4x * (-17 + 14x)) = 0
((-17 * 9 + 14x * 9) + 4x * (-17 + 14x)) = 0
((-153 + 126x) + 4x * (-17 + 14x)) = 0
(-153 + 126x + (-17 * 4x + 14x * 4x)) = 0
(-153 + 126x + (-68x + 56x2)) = 0

Combine like terms: 126x + -68x = 58x
(-153 + 58x + 56x2) = 0

Solving
-153 + 58x + 56x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -4x)(17 + -14x) = 0


Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve:

Simplifying
-9 + -4x = 0

Solving
-9 + -4x = 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 + -4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 0 + 9
-4x = 0 + 9

Combine like terms: 0 + 9 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 2
Set the factor '(17 + -14x)' equal to zero and attempt to solve:

Simplifying
17 + -14x = 0

Solving
17 + -14x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -14x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -14x = 0 + -17
-14x = 0 + -17

Combine like terms: 0 + -17 = -17
-14x = -17

Divide each side by '-14'.
x = 1.214285714

Simplifying
x = 1.214285714
Solution
x = {-2.25, 1.214285714}

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