(-4x+1)(5x-3)=

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Solution for (-4x+1)(5x-3)= equation:


Simplifying
(-4x + 1)(5x + -3) = 0

Reorder the terms:
(1 + -4x)(5x + -3) = 0

Reorder the terms:
(1 + -4x)(-3 + 5x) = 0

Multiply (1 + -4x) * (-3 + 5x)
(1(-3 + 5x) + -4x * (-3 + 5x)) = 0
((-3 * 1 + 5x * 1) + -4x * (-3 + 5x)) = 0
((-3 + 5x) + -4x * (-3 + 5x)) = 0
(-3 + 5x + (-3 * -4x + 5x * -4x)) = 0
(-3 + 5x + (12x + -20x2)) = 0

Combine like terms: 5x + 12x = 17x
(-3 + 17x + -20x2) = 0

Solving
-3 + 17x + -20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + 5x)(1 + -4x) = 0

Subproblem 1

Set the factor '(-3 + 5x)' equal to zero and attempt to solve: Simplifying -3 + 5x = 0 Solving -3 + 5x = 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 + 5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 0 + 3 5x = 0 + 3 Combine like terms: 0 + 3 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6

Subproblem 2

Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25

Solution

x = {0.6, 0.25}

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