Y=5(x-8)(x-8)+40

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Solution for Y=5(x-8)(x-8)+40 equation:


Simplifying
Y = 5(x + -8)(x + -8) + 40

Reorder the terms:
Y = 5(-8 + x)(x + -8) + 40

Reorder the terms:
Y = 5(-8 + x)(-8 + x) + 40

Multiply (-8 + x) * (-8 + x)
Y = 5(-8(-8 + x) + x(-8 + x)) + 40
Y = 5((-8 * -8 + x * -8) + x(-8 + x)) + 40
Y = 5((64 + -8x) + x(-8 + x)) + 40
Y = 5(64 + -8x + (-8 * x + x * x)) + 40
Y = 5(64 + -8x + (-8x + x2)) + 40

Combine like terms: -8x + -8x = -16x
Y = 5(64 + -16x + x2) + 40
Y = (64 * 5 + -16x * 5 + x2 * 5) + 40
Y = (320 + -80x + 5x2) + 40

Reorder the terms:
Y = 320 + 40 + -80x + 5x2

Combine like terms: 320 + 40 = 360
Y = 360 + -80x + 5x2

Solving
Y = 360 + -80x + 5x2

Solving for variable 'Y'.

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

Simplifying
Y = 360 + -80x + 5x2

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