9x^2+73x=-70

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Solution for 9x^2+73x=-70 equation:


Simplifying
9x2 + 73x = -70

Reorder the terms:
73x + 9x2 = -70

Solving
73x + 9x2 = -70

Solving for variable 'x'.

Reorder the terms:
70 + 73x + 9x2 = -70 + 70

Combine like terms: -70 + 70 = 0
70 + 73x + 9x2 = 0

Factor a trinomial.
(7 + x)(10 + 9x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(10 + 9x)' equal to zero and attempt to solve: Simplifying 10 + 9x = 0 Solving 10 + 9x = 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 + 9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 0 + -10 9x = 0 + -10 Combine like terms: 0 + -10 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111

Solution

x = {-7, -1.111111111}

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