15=2x(4x-7)

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Solution for 15=2x(4x-7) equation: 


Simplifying
15 = 2x(4x + -7)

Reorder the terms:
15 = 2x(-7 + 4x)
15 = (-7 * 2x + 4x * 2x)
15 = (-14x + 8x2)

Solving
15 = -14x + 8x2

Solving for variable 'x'.

Reorder the terms:
15 + 14x + -8x2 = -14x + 14x + 8x2 + -8x2

Combine like terms: -14x + 14x = 0
15 + 14x + -8x2 = 0 + 8x2 + -8x2
15 + 14x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
15 + 14x + -8x2 = 0

Factor a trinomial.
(5 + -2x)(3 + 4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {2.5, -0.75}

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