=(2x+5)(7x-3)

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Solution for =(2x+5)(7x-3) equation: 


Simplifying
0 = (2x + 5)(7x + -3)

Reorder the terms:
0 = (5 + 2x)(7x + -3)

Reorder the terms:
0 = (5 + 2x)(-3 + 7x)

Multiply (5 + 2x) * (-3 + 7x)
0 = (5(-3 + 7x) + 2x * (-3 + 7x))
0 = ((-3 * 5 + 7x * 5) + 2x * (-3 + 7x))
0 = ((-15 + 35x) + 2x * (-3 + 7x))
0 = (-15 + 35x + (-3 * 2x + 7x * 2x))
0 = (-15 + 35x + (-6x + 14x2))

Combine like terms: 35x + -6x = 29x
0 = (-15 + 29x + 14x2)

Solving
0 = -15 + 29x + 14x2

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + -29x + -14x2 = -15 + 29x + 14x2 + 15 + -29x + -14x2

Reorder the terms:
15 + -29x + -14x2 = -15 + 15 + 29x + -29x + 14x2 + -14x2

Combine like terms: -15 + 15 = 0
15 + -29x + -14x2 = 0 + 29x + -29x + 14x2 + -14x2
15 + -29x + -14x2 = 29x + -29x + 14x2 + -14x2

Combine like terms: 29x + -29x = 0
15 + -29x + -14x2 = 0 + 14x2 + -14x2
15 + -29x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
15 + -29x + -14x2 = 0

Factor a trinomial.
(3 + -7x)(5 + 2x) = 0


Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {0.4285714286, -2.5}

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