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

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


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

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

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

Multiply (-5 + 4x) * (-3 + x)
(-5(-3 + x) + 4x * (-3 + x)) = 0
((-3 * -5 + x * -5) + 4x * (-3 + x)) = 0
((15 + -5x) + 4x * (-3 + x)) = 0
(15 + -5x + (-3 * 4x + x * 4x)) = 0
(15 + -5x + (-12x + 4x2)) = 0

Combine like terms: -5x + -12x = -17x
(15 + -17x + 4x2) = 0

Solving
15 + -17x + 4x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {1.25, 3}

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