(4x+19)*(x-3)=

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Solution for (4x+19)*(x-3)= equation:


Simplifying
(4x + 19)(x + -3) = 0

Reorder the terms:
(19 + 4x)(x + -3) = 0

Reorder the terms:
(19 + 4x)(-3 + x) = 0

Multiply (19 + 4x) * (-3 + x)
(19(-3 + x) + 4x * (-3 + x)) = 0
((-3 * 19 + x * 19) + 4x * (-3 + x)) = 0
((-57 + 19x) + 4x * (-3 + x)) = 0
(-57 + 19x + (-3 * 4x + x * 4x)) = 0
(-57 + 19x + (-12x + 4x2)) = 0

Combine like terms: 19x + -12x = 7x
(-57 + 7x + 4x2) = 0

Solving
-57 + 7x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-19 + -4x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-19 + -4x)' equal to zero and attempt to solve: Simplifying -19 + -4x = 0 Solving -19 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 0 + 19 -4x = 0 + 19 Combine like terms: 0 + 19 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75

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 = {-4.75, 3}

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