15(2x+6)+3(x-4)(x+4)=3x*x+2-5(4x+2)

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Solution for 15(2x+6)+3(x-4)(x+4)=3x*x+2-5(4x+2) equation:


Simplifying
15(2x + 6) + 3(x + -4)(x + 4) = 3x * x + 2 + -5(4x + 2)

Reorder the terms:
15(6 + 2x) + 3(x + -4)(x + 4) = 3x * x + 2 + -5(4x + 2)
(6 * 15 + 2x * 15) + 3(x + -4)(x + 4) = 3x * x + 2 + -5(4x + 2)
(90 + 30x) + 3(x + -4)(x + 4) = 3x * x + 2 + -5(4x + 2)

Reorder the terms:
90 + 30x + 3(-4 + x)(x + 4) = 3x * x + 2 + -5(4x + 2)

Reorder the terms:
90 + 30x + 3(-4 + x)(4 + x) = 3x * x + 2 + -5(4x + 2)

Multiply (-4 + x) * (4 + x)
90 + 30x + 3(-4(4 + x) + x(4 + x)) = 3x * x + 2 + -5(4x + 2)
90 + 30x + 3((4 * -4 + x * -4) + x(4 + x)) = 3x * x + 2 + -5(4x + 2)
90 + 30x + 3((-16 + -4x) + x(4 + x)) = 3x * x + 2 + -5(4x + 2)
90 + 30x + 3(-16 + -4x + (4 * x + x * x)) = 3x * x + 2 + -5(4x + 2)
90 + 30x + 3(-16 + -4x + (4x + x2)) = 3x * x + 2 + -5(4x + 2)

Combine like terms: -4x + 4x = 0
90 + 30x + 3(-16 + 0 + x2) = 3x * x + 2 + -5(4x + 2)
90 + 30x + 3(-16 + x2) = 3x * x + 2 + -5(4x + 2)
90 + 30x + (-16 * 3 + x2 * 3) = 3x * x + 2 + -5(4x + 2)
90 + 30x + (-48 + 3x2) = 3x * x + 2 + -5(4x + 2)

Reorder the terms:
90 + -48 + 30x + 3x2 = 3x * x + 2 + -5(4x + 2)

Combine like terms: 90 + -48 = 42
42 + 30x + 3x2 = 3x * x + 2 + -5(4x + 2)

Multiply x * x
42 + 30x + 3x2 = 3x2 + 2 + -5(4x + 2)

Reorder the terms:
42 + 30x + 3x2 = 3x2 + 2 + -5(2 + 4x)
42 + 30x + 3x2 = 3x2 + 2 + (2 * -5 + 4x * -5)
42 + 30x + 3x2 = 3x2 + 2 + (-10 + -20x)

Reorder the terms:
42 + 30x + 3x2 = 2 + -10 + -20x + 3x2

Combine like terms: 2 + -10 = -8
42 + 30x + 3x2 = -8 + -20x + 3x2

Add '-3x2' to each side of the equation.
42 + 30x + 3x2 + -3x2 = -8 + -20x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
42 + 30x + 0 = -8 + -20x + 3x2 + -3x2
42 + 30x = -8 + -20x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
42 + 30x = -8 + -20x + 0
42 + 30x = -8 + -20x

Solving
42 + 30x = -8 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
42 + 30x + 20x = -8 + -20x + 20x

Combine like terms: 30x + 20x = 50x
42 + 50x = -8 + -20x + 20x

Combine like terms: -20x + 20x = 0
42 + 50x = -8 + 0
42 + 50x = -8

Add '-42' to each side of the equation.
42 + -42 + 50x = -8 + -42

Combine like terms: 42 + -42 = 0
0 + 50x = -8 + -42
50x = -8 + -42

Combine like terms: -8 + -42 = -50
50x = -50

Divide each side by '50'.
x = -1

Simplifying
x = -1

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