(x-16)(-15+14x)=

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Solution for (x-16)(-15+14x)= equation:


Simplifying
(x + -16)(-15 + 14x) = 0

Reorder the terms:
(-16 + x)(-15 + 14x) = 0

Multiply (-16 + x) * (-15 + 14x)
(-16(-15 + 14x) + x(-15 + 14x)) = 0
((-15 * -16 + 14x * -16) + x(-15 + 14x)) = 0
((240 + -224x) + x(-15 + 14x)) = 0
(240 + -224x + (-15 * x + 14x * x)) = 0
(240 + -224x + (-15x + 14x2)) = 0

Combine like terms: -224x + -15x = -239x
(240 + -239x + 14x2) = 0

Solving
240 + -239x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + -14x)(16 + -1x) = 0

Subproblem 1

Set the factor '(15 + -14x)' equal to zero and attempt to solve: Simplifying 15 + -14x = 0 Solving 15 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -14x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 0 + -15 -14x = 0 + -15 Combine like terms: 0 + -15 = -15 -14x = -15 Divide each side by '-14'. x = 1.071428571 Simplifying x = 1.071428571

Subproblem 2

Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Solution

x = {1.071428571, 16}

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