7x^2+12=44x

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Solution for 7x^2+12=44x equation:


Simplifying
7x2 + 12 = 44x

Reorder the terms:
12 + 7x2 = 44x

Solving
12 + 7x2 = 44x

Solving for variable 'x'.

Reorder the terms:
12 + -44x + 7x2 = 44x + -44x

Combine like terms: 44x + -44x = 0
12 + -44x + 7x2 = 0

Factor a trinomial.
(2 + -7x)(6 + -1x) = 0

Subproblem 1

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

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 = {0.2857142857, 6}

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