4x^2-19x=-12

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Solution for 4x^2-19x=-12 equation:


Simplifying
4x2 + -19x = -12

Reorder the terms:
-19x + 4x2 = -12

Solving
-19x + 4x2 = -12

Solving for variable 'x'.

Reorder the terms:
12 + -19x + 4x2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -19x + 4x2 = 0

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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