10x^2+90x=1620

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Solution for 10x^2+90x=1620 equation:


Simplifying
10x2 + 90x = 1620

Reorder the terms:
90x + 10x2 = 1620

Solving
90x + 10x2 = 1620

Solving for variable 'x'.

Reorder the terms:
-1620 + 90x + 10x2 = 1620 + -1620

Combine like terms: 1620 + -1620 = 0
-1620 + 90x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-162 + 9x + x2) = 0

Factor a trinomial.
10((-18 + -1x)(9 + -1x)) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-18, 9}

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