E=9x^2-25+(3x-5)(2x+15)

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Solution for E=9x^2-25+(3x-5)(2x+15) equation:


Simplifying
E = 9x2 + -25 + (3x + -5)(2x + 15)

Reorder the terms:
E = 9x2 + -25 + (-5 + 3x)(2x + 15)

Reorder the terms:
E = 9x2 + -25 + (-5 + 3x)(15 + 2x)

Multiply (-5 + 3x) * (15 + 2x)
E = 9x2 + -25 + (-5(15 + 2x) + 3x * (15 + 2x))
E = 9x2 + -25 + ((15 * -5 + 2x * -5) + 3x * (15 + 2x))
E = 9x2 + -25 + ((-75 + -10x) + 3x * (15 + 2x))
E = 9x2 + -25 + (-75 + -10x + (15 * 3x + 2x * 3x))
E = 9x2 + -25 + (-75 + -10x + (45x + 6x2))

Combine like terms: -10x + 45x = 35x
E = 9x2 + -25 + (-75 + 35x + 6x2)

Reorder the terms:
E = -25 + -75 + 35x + 9x2 + 6x2

Combine like terms: -25 + -75 = -100
E = -100 + 35x + 9x2 + 6x2

Combine like terms: 9x2 + 6x2 = 15x2
E = -100 + 35x + 15x2

Solving
E = -100 + 35x + 15x2

Solving for variable 'E'.

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

Simplifying
E = -100 + 35x + 15x2

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