x^2+150x=3400

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Solution for x^2+150x=3400 equation:


Simplifying
x2 + 150x = 3400

Reorder the terms:
150x + x2 = 3400

Solving
150x + x2 = 3400

Solving for variable 'x'.

Reorder the terms:
-3400 + 150x + x2 = 3400 + -3400

Combine like terms: 3400 + -3400 = 0
-3400 + 150x + x2 = 0

Factor a trinomial.
(-170 + -1x)(20 + -1x) = 0

Subproblem 1

Set the factor '(-170 + -1x)' equal to zero and attempt to solve: Simplifying -170 + -1x = 0 Solving -170 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '170' to each side of the equation. -170 + 170 + -1x = 0 + 170 Combine like terms: -170 + 170 = 0 0 + -1x = 0 + 170 -1x = 0 + 170 Combine like terms: 0 + 170 = 170 -1x = 170 Divide each side by '-1'. x = -170 Simplifying x = -170

Subproblem 2

Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20

Solution

x = {-170, 20}

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