f(2)=8(2x-3)(2x-3)-16(2x-3)+7

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Solution for f(2)=8(2x-3)(2x-3)-16(2x-3)+7 equation: 


Simplifying
f(2) = 8(2x + -3)(2x + -3) + -16(2x + -3) + 7

Reorder the terms for easier multiplication:
2f = 8(2x + -3)(2x + -3) + -16(2x + -3) + 7

Reorder the terms:
2f = 8(-3 + 2x)(2x + -3) + -16(2x + -3) + 7

Reorder the terms:
2f = 8(-3 + 2x)(-3 + 2x) + -16(2x + -3) + 7

Multiply (-3 + 2x) * (-3 + 2x)
2f = 8(-3(-3 + 2x) + 2x * (-3 + 2x)) + -16(2x + -3) + 7
2f = 8((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) + -16(2x + -3) + 7
2f = 8((9 + -6x) + 2x * (-3 + 2x)) + -16(2x + -3) + 7
2f = 8(9 + -6x + (-3 * 2x + 2x * 2x)) + -16(2x + -3) + 7
2f = 8(9 + -6x + (-6x + 4x2)) + -16(2x + -3) + 7

Combine like terms: -6x + -6x = -12x
2f = 8(9 + -12x + 4x2) + -16(2x + -3) + 7
2f = (9 * 8 + -12x * 8 + 4x2 * 8) + -16(2x + -3) + 7
2f = (72 + -96x + 32x2) + -16(2x + -3) + 7

Reorder the terms:
2f = 72 + -96x + 32x2 + -16(-3 + 2x) + 7
2f = 72 + -96x + 32x2 + (-3 * -16 + 2x * -16) + 7
2f = 72 + -96x + 32x2 + (48 + -32x) + 7

Reorder the terms:
2f = 72 + 48 + 7 + -96x + -32x + 32x2

Combine like terms: 72 + 48 = 120
2f = 120 + 7 + -96x + -32x + 32x2

Combine like terms: 120 + 7 = 127
2f = 127 + -96x + -32x + 32x2

Combine like terms: -96x + -32x = -128x
2f = 127 + -128x + 32x2

Solving
2f = 127 + -128x + 32x2

Solving for variable 'f'.

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

Divide each side by '2'.
f = 63.5 + -64x + 16x2

Simplifying
f = 63.5 + -64x + 16x2

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