Px=-a(x-5)(x-30)

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Solution for Px=-a(x-5)(x-30) equation:


Simplifying
Px = -1a(x + -5)(x + -30)

Reorder the terms:
xP = -1a(-5 + x)(x + -30)

Reorder the terms:
xP = -1a(-5 + x)(-30 + x)

Multiply (-5 + x) * (-30 + x)
xP = -1a(-5(-30 + x) + x(-30 + x))
xP = -1a((-30 * -5 + x * -5) + x(-30 + x))
xP = -1a((150 + -5x) + x(-30 + x))
xP = -1a(150 + -5x + (-30 * x + x * x))
xP = -1a(150 + -5x + (-30x + x2))

Combine like terms: -5x + -30x = -35x
xP = -1a(150 + -35x + x2)
xP = (150 * -1a + -35x * -1a + x2 * -1a)
xP = (-150a + 35ax + -1ax2)

Solving
xP = -150a + 35ax + -1ax2

Solving for variable 'x'.

Reorder the terms:
150a + -35ax + ax2 + xP = -150a + 35ax + -1ax2 + 150a + -35ax + ax2

Reorder the terms:
150a + -35ax + ax2 + xP = -150a + 150a + 35ax + -35ax + -1ax2 + ax2

Combine like terms: -150a + 150a = 0
150a + -35ax + ax2 + xP = 0 + 35ax + -35ax + -1ax2 + ax2
150a + -35ax + ax2 + xP = 35ax + -35ax + -1ax2 + ax2

Combine like terms: 35ax + -35ax = 0
150a + -35ax + ax2 + xP = 0 + -1ax2 + ax2
150a + -35ax + ax2 + xP = -1ax2 + ax2

Combine like terms: -1ax2 + ax2 = 0
150a + -35ax + ax2 + xP = 0

The solution to this equation could not be determined.

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