1.52=a(x-10.28)(x-1.52)

Solution for 1.52=a(x-10.28)(x-1.52) equation:

Simplifying
1.52 = a(x + -10.28)(x + -1.52)

Reorder the terms:
1.52 = a(-10.28 + x)(x + -1.52)

Reorder the terms:
1.52 = a(-10.28 + x)(-1.52 + x)

Multiply (-10.28 + x) * (-1.52 + x)
1.52 = a(-10.28(-1.52 + x) + x(-1.52 + x))
1.52 = a((-1.52 * -10.28 + x * -10.28) + x(-1.52 + x))
1.52 = a((15.6256 + -10.28x) + x(-1.52 + x))
1.52 = a(15.6256 + -10.28x + (-1.52 * x + x * x))
1.52 = a(15.6256 + -10.28x + (-1.52x + x2))

Combine like terms: -10.28x + -1.52x = -11.8x
1.52 = a(15.6256 + -11.8x + x2)
1.52 = (15.6256 * a + -11.8x * a + x2 * a)
1.52 = (15.6256a + -11.8ax + ax2)

Solving
1.52 = 15.6256a + -11.8ax + ax2

Solving for variable 'a'.

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

Add '-15.6256a' to each side of the equation.
1.52 + -15.6256a = 15.6256a + -11.8ax + -15.6256a + ax2

Reorder the terms:
1.52 + -15.6256a = 15.6256a + -15.6256a + -11.8ax + ax2

Combine like terms: 15.6256a + -15.6256a = 0.0000
1.52 + -15.6256a = 0.0000 + -11.8ax + ax2
1.52 + -15.6256a = -11.8ax + ax2

Add '11.8ax' to each side of the equation.
1.52 + -15.6256a + 11.8ax = -11.8ax + 11.8ax + ax2

Combine like terms: -11.8ax + 11.8ax = 0.0
1.52 + -15.6256a + 11.8ax = 0.0 + ax2
1.52 + -15.6256a + 11.8ax = ax2

Add '-1ax2' to each side of the equation.
1.52 + -15.6256a + 11.8ax + -1ax2 = ax2 + -1ax2

Combine like terms: ax2 + -1ax2 = 0
1.52 + -15.6256a + 11.8ax + -1ax2 = 0

Add '-1.52' to each side of the equation.
1.52 + -15.6256a + 11.8ax + -1.52 + -1ax2 = 0 + -1.52

Reorder the terms:
1.52 + -1.52 + -15.6256a + 11.8ax + -1ax2 = 0 + -1.52

Combine like terms: 1.52 + -1.52 = 0.00
0.00 + -15.6256a + 11.8ax + -1ax2 = 0 + -1.52
-15.6256a + 11.8ax + -1ax2 = 0 + -1.52

Combine like terms: 0 + -1.52 = -1.52
-15.6256a + 11.8ax + -1ax2 = -1.52

Reorder the terms:
1.52 + -15.6256a + 11.8ax + -1ax2 = -1.52 + 1.52

Combine like terms: -1.52 + 1.52 = 0.00
1.52 + -15.6256a + 11.8ax + -1ax2 = 0.00

The solution to this equation could not be determined.