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

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


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

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

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

Multiply (4 + 7x) * (-7 + 4x)
0 = (4(-7 + 4x) + 7x * (-7 + 4x))
0 = ((-7 * 4 + 4x * 4) + 7x * (-7 + 4x))
0 = ((-28 + 16x) + 7x * (-7 + 4x))
0 = (-28 + 16x + (-7 * 7x + 4x * 7x))
0 = (-28 + 16x + (-49x + 28x2))

Combine like terms: 16x + -49x = -33x
0 = (-28 + -33x + 28x2)

Solving
0 = -28 + -33x + 28x2

Solving for variable 'x'.

Combine like terms: 0 + 28 = 28
28 + 33x + -28x2 = -28 + -33x + 28x2 + 28 + 33x + -28x2

Reorder the terms:
28 + 33x + -28x2 = -28 + 28 + -33x + 33x + 28x2 + -28x2

Combine like terms: -28 + 28 = 0
28 + 33x + -28x2 = 0 + -33x + 33x + 28x2 + -28x2
28 + 33x + -28x2 = -33x + 33x + 28x2 + -28x2

Combine like terms: -33x + 33x = 0
28 + 33x + -28x2 = 0 + 28x2 + -28x2
28 + 33x + -28x2 = 28x2 + -28x2

Combine like terms: 28x2 + -28x2 = 0
28 + 33x + -28x2 = 0

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


Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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 = {1.75, -0.5714285714}

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