x(7x+45)+50=0

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Solution for x(7x+45)+50=0 equation:


Simplifying
x(7x + 45) + 50 = 0

Reorder the terms:
x(45 + 7x) + 50 = 0
(45 * x + 7x * x) + 50 = 0
(45x + 7x2) + 50 = 0

Reorder the terms:
50 + 45x + 7x2 = 0

Solving
50 + 45x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x)(10 + 7x) = 0

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(10 + 7x)' equal to zero and attempt to solve: Simplifying 10 + 7x = 0 Solving 10 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 0 + -10 7x = 0 + -10 Combine like terms: 0 + -10 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429

Solution

x = {-5, -1.428571429}

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