3.5=a(x-e)(x-7.1)

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Solution for 3.5=a(x-e)(x-7.1) equation:


Simplifying
3.5 = a(x + -1e)(x + -7.1)

Reorder the terms:
3.5 = a(-1e + x)(x + -7.1)

Reorder the terms:
3.5 = a(-1e + x)(-7.1 + x)

Multiply (-1e + x) * (-7.1 + x)
3.5 = a(-1e * (-7.1 + x) + x(-7.1 + x))
3.5 = a((-7.1 * -1e + x * -1e) + x(-7.1 + x))
3.5 = a((7.1e + -1ex) + x(-7.1 + x))
3.5 = a(7.1e + -1ex + (-7.1 * x + x * x))
3.5 = a(7.1e + -1ex + (-7.1x + x2))
3.5 = a(7.1e + -1ex + -7.1x + x2)
3.5 = (7.1e * a + -1ex * a + -7.1x * a + x2 * a)
3.5 = (7.1ae + -1aex + -7.1ax + ax2)

Solving
3.5 = 7.1ae + -1aex + -7.1ax + ax2

Solving for variable 'a'.

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

Add '-7.1ae' to each side of the equation.
3.5 + -7.1ae = 7.1ae + -1aex + -7.1ax + -7.1ae + ax2

Reorder the terms:
3.5 + -7.1ae = 7.1ae + -7.1ae + -1aex + -7.1ax + ax2

Combine like terms: 7.1ae + -7.1ae = 0.0
3.5 + -7.1ae = 0.0 + -1aex + -7.1ax + ax2
3.5 + -7.1ae = -1aex + -7.1ax + ax2

Add 'aex' to each side of the equation.
3.5 + -7.1ae + aex = -1aex + -7.1ax + aex + ax2

Reorder the terms:
3.5 + -7.1ae + aex = -1aex + aex + -7.1ax + ax2

Combine like terms: -1aex + aex = 0
3.5 + -7.1ae + aex = 0 + -7.1ax + ax2
3.5 + -7.1ae + aex = -7.1ax + ax2

Add '7.1ax' to each side of the equation.
3.5 + -7.1ae + aex + 7.1ax = -7.1ax + 7.1ax + ax2

Combine like terms: -7.1ax + 7.1ax = 0.0
3.5 + -7.1ae + aex + 7.1ax = 0.0 + ax2
3.5 + -7.1ae + aex + 7.1ax = ax2

Add '-1ax2' to each side of the equation.
3.5 + -7.1ae + aex + 7.1ax + -1ax2 = ax2 + -1ax2

Combine like terms: ax2 + -1ax2 = 0
3.5 + -7.1ae + aex + 7.1ax + -1ax2 = 0

Add '-3.5' to each side of the equation.
3.5 + -7.1ae + aex + 7.1ax + -3.5 + -1ax2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -7.1ae + aex + 7.1ax + -1ax2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -7.1ae + aex + 7.1ax + -1ax2 = 0 + -3.5
-7.1ae + aex + 7.1ax + -1ax2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-7.1ae + aex + 7.1ax + -1ax2 = -3.5

Reorder the terms:
3.5 + -7.1ae + aex + 7.1ax + -1ax2 = -3.5 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
3.5 + -7.1ae + aex + 7.1ax + -1ax2 = 0.0

The solution to this equation could not be determined.

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