(x-3)(-5x+1)=

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Solution for (x-3)(-5x+1)= equation:


Simplifying
(x + -3)(-5x + 1) = 0

Reorder the terms:
(-3 + x)(-5x + 1) = 0

Reorder the terms:
(-3 + x)(1 + -5x) = 0

Multiply (-3 + x) * (1 + -5x)
(-3(1 + -5x) + x(1 + -5x)) = 0
((1 * -3 + -5x * -3) + x(1 + -5x)) = 0
((-3 + 15x) + x(1 + -5x)) = 0
(-3 + 15x + (1 * x + -5x * x)) = 0
(-3 + 15x + (1x + -5x2)) = 0

Combine like terms: 15x + 1x = 16x
(-3 + 16x + -5x2) = 0

Solving
-3 + 16x + -5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + x)(1 + -5x) = 0

Subproblem 1

Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Solution

x = {3, 0.2}

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