(1-4x)(6+5x)=0

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Solution for (1-4x)(6+5x)=0 equation:


Simplifying
(1 + -4x)(6 + 5x) = 0

Multiply (1 + -4x) * (6 + 5x)
(1(6 + 5x) + -4x * (6 + 5x)) = 0
((6 * 1 + 5x * 1) + -4x * (6 + 5x)) = 0
((6 + 5x) + -4x * (6 + 5x)) = 0
(6 + 5x + (6 * -4x + 5x * -4x)) = 0
(6 + 5x + (-24x + -20x2)) = 0

Combine like terms: 5x + -24x = -19x
(6 + -19x + -20x2) = 0

Solving
6 + -19x + -20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -4x)(6 + 5x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2

Solution

x = {0.25, -1.2}

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