-(3x-2)*(5x+3)-x^2=-((4x)*(4x))

Solution for -(3x-2)*(5x+3)-x^2=-((4x)*(4x)) equation:

Simplifying
-1(3x + -2)(5x + 3) + -1x2 = -1((4x)(4x))

Reorder the terms:
-1(-2 + 3x)(5x + 3) + -1x2 = -1((4x)(4x))

Reorder the terms:
-1(-2 + 3x)(3 + 5x) + -1x2 = -1((4x)(4x))

Multiply (-2 + 3x) * (3 + 5x)
-1(-2(3 + 5x) + 3x * (3 + 5x)) + -1x2 = -1((4x)(4x))
-1((3 * -2 + 5x * -2) + 3x * (3 + 5x)) + -1x2 = -1((4x)(4x))
-1((-6 + -10x) + 3x * (3 + 5x)) + -1x2 = -1((4x)(4x))
-1(-6 + -10x + (3 * 3x + 5x * 3x)) + -1x2 = -1((4x)(4x))
-1(-6 + -10x + (9x + 15x2)) + -1x2 = -1((4x)(4x))

Combine like terms: -10x + 9x = -1x
-1(-6 + -1x + 15x2) + -1x2 = -1((4x)(4x))
(-6 * -1 + -1x * -1 + 15x2 * -1) + -1x2 = -1((4x)(4x))
(6 + 1x + -15x2) + -1x2 = -1((4x)(4x))

Combine like terms: -15x2 + -1x2 = -16x2
6 + 1x + -16x2 = -1((4x)(4x))

Remove parenthesis around (4x)
6 + 1x + -16x2 = -1(4x(4x))

Remove parenthesis around (4x)
6 + 1x + -16x2 = -1(4x * 4x)

Reorder the terms for easier multiplication:
6 + 1x + -16x2 = -1(4 * 4x * x)

Multiply 4 * 4
6 + 1x + -16x2 = -1(16x * x)

Multiply x * x
6 + 1x + -16x2 = -1(16x2)

Remove parenthesis around (16x2)
6 + 1x + -16x2 = -1 * 16x2

Multiply -1 * 16
6 + 1x + -16x2 = -16x2

Add '16x2' to each side of the equation.
6 + 1x + -16x2 + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
6 + 1x + 0 = -16x2 + 16x2
6 + 1x = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
6 + 1x = 0

Solving
6 + 1x = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 0 + -6
1x = 0 + -6

Combine like terms: 0 + -6 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6