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

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


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

Reorder the terms:
(-4 + 5x)(x + -6) = 0

Reorder the terms:
(-4 + 5x)(-6 + x) = 0

Multiply (-4 + 5x) * (-6 + x)
(-4(-6 + x) + 5x * (-6 + x)) = 0
((-6 * -4 + x * -4) + 5x * (-6 + x)) = 0
((24 + -4x) + 5x * (-6 + x)) = 0
(24 + -4x + (-6 * 5x + x * 5x)) = 0
(24 + -4x + (-30x + 5x2)) = 0

Combine like terms: -4x + -30x = -34x
(24 + -34x + 5x2) = 0

Solving
24 + -34x + 5x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {0.8, 6}

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