y=-2(3x+4)(x-5)

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


Simplifying
y = -2(3x + 4)(x + -5)

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

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

Multiply (4 + 3x) * (-5 + x)
y = -2(4(-5 + x) + 3x * (-5 + x))
y = -2((-5 * 4 + x * 4) + 3x * (-5 + x))
y = -2((-20 + 4x) + 3x * (-5 + x))
y = -2(-20 + 4x + (-5 * 3x + x * 3x))
y = -2(-20 + 4x + (-15x + 3x2))

Combine like terms: 4x + -15x = -11x
y = -2(-20 + -11x + 3x2)
y = (-20 * -2 + -11x * -2 + 3x2 * -2)
y = (40 + 22x + -6x2)

Solving
y = 40 + 22x + -6x2

Solving for variable 'y'.

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

Simplifying
y = 40 + 22x + -6x2

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