(4x+5)*x=174

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Solution for (4x+5)*x=174 equation:


Simplifying
(4x + 5) * x = 174

Reorder the terms:
(5 + 4x) * x = 174

Reorder the terms for easier multiplication:
x(5 + 4x) = 174
(5 * x + 4x * x) = 174
(5x + 4x2) = 174

Solving
5x + 4x2 = 174

Solving for variable 'x'.

Reorder the terms:
-174 + 5x + 4x2 = 174 + -174

Combine like terms: 174 + -174 = 0
-174 + 5x + 4x2 = 0

Factor a trinomial.
(-29 + -4x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-29 + -4x)' equal to zero and attempt to solve: Simplifying -29 + -4x = 0 Solving -29 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -4x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -4x = 0 + 29 -4x = 0 + 29 Combine like terms: 0 + 29 = 29 -4x = 29 Divide each side by '-4'. x = -7.25 Simplifying x = -7.25

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 = {-7.25, 6}

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