3.5=a(x-0)(x-1.5)

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Solution for 3.5=a(x-0)(x-1.5) equation:


Simplifying
3.5 = a(x + 0)(x + -1.5)

Reorder the terms:
3.5 = a(0 + x)(x + -1.5)
Remove the zero:
3.5 = a(x)(x + -1.5)

Reorder the terms:
3.5 = a * x(-1.5 + x)

Multiply a * x
3.5 = ax(-1.5 + x)
3.5 = (-1.5 * ax + x * ax)
3.5 = (-1.5ax + ax2)

Solving
3.5 = -1.5ax + ax2

Solving for variable 'a'.

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

Add '1.5ax' to each side of the equation.
3.5 + 1.5ax = -1.5ax + 1.5ax + ax2

Combine like terms: -1.5ax + 1.5ax = 0.0
3.5 + 1.5ax = 0.0 + ax2
3.5 + 1.5ax = ax2

Add '-1ax2' to each side of the equation.
3.5 + 1.5ax + -1ax2 = ax2 + -1ax2

Combine like terms: ax2 + -1ax2 = 0
3.5 + 1.5ax + -1ax2 = 0

Add '-3.5' to each side of the equation.
3.5 + 1.5ax + -3.5 + -1ax2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + 1.5ax + -1ax2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 1.5ax + -1ax2 = 0 + -3.5
1.5ax + -1ax2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
1.5ax + -1ax2 = -3.5

Reorder the terms:
3.5 + 1.5ax + -1ax2 = -3.5 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
3.5 + 1.5ax + -1ax2 = 0.0

The solution to this equation could not be determined.

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