=(2x+4)(14x-9)

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Solution for =(2x+4)(14x-9) equation: 


Simplifying
0 = (2x + 4)(14x + -9)

Reorder the terms:
0 = (4 + 2x)(14x + -9)

Reorder the terms:
0 = (4 + 2x)(-9 + 14x)

Multiply (4 + 2x) * (-9 + 14x)
0 = (4(-9 + 14x) + 2x * (-9 + 14x))
0 = ((-9 * 4 + 14x * 4) + 2x * (-9 + 14x))
0 = ((-36 + 56x) + 2x * (-9 + 14x))
0 = (-36 + 56x + (-9 * 2x + 14x * 2x))
0 = (-36 + 56x + (-18x + 28x2))

Combine like terms: 56x + -18x = 38x
0 = (-36 + 38x + 28x2)

Solving
0 = -36 + 38x + 28x2

Solving for variable 'x'.

Combine like terms: 0 + 36 = 36
36 + -38x + -28x2 = -36 + 38x + 28x2 + 36 + -38x + -28x2

Reorder the terms:
36 + -38x + -28x2 = -36 + 36 + 38x + -38x + 28x2 + -28x2

Combine like terms: -36 + 36 = 0
36 + -38x + -28x2 = 0 + 38x + -38x + 28x2 + -28x2
36 + -38x + -28x2 = 38x + -38x + 28x2 + -28x2

Combine like terms: 38x + -38x = 0
36 + -38x + -28x2 = 0 + 28x2 + -28x2
36 + -38x + -28x2 = 28x2 + -28x2

Combine like terms: 28x2 + -28x2 = 0
36 + -38x + -28x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -19x + -14x2) = 0

Factor a trinomial.
2((9 + -14x)(2 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + -14x)' equal to zero and attempt to solve:

Simplifying
9 + -14x = 0

Solving
9 + -14x = 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 + -14x = 0 + -9

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

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

Divide each side by '-14'.
x = 0.6428571429

Simplifying
x = 0.6428571429

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0.6428571429, -2}

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