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

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


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

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

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

Multiply (-3 + 4x) * (-4 + x)
(-3(-4 + x) + 4x * (-4 + x)) = 0
((-4 * -3 + x * -3) + 4x * (-4 + x)) = 0
((12 + -3x) + 4x * (-4 + x)) = 0
(12 + -3x + (-4 * 4x + x * 4x)) = 0
(12 + -3x + (-16x + 4x2)) = 0

Combine like terms: -3x + -16x = -19x
(12 + -19x + 4x2) = 0

Solving
12 + -19x + 4x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Subproblem 2

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

Solution

x = {0.75, 4}

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