6x^2+7x=90

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Solution for 6x^2+7x=90 equation:


Simplifying
6x2 + 7x = 90

Reorder the terms:
7x + 6x2 = 90

Solving
7x + 6x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + 7x + 6x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + 7x + 6x2 = 0

Factor a trinomial.
(-9 + -2x)(10 + -3x) = 0

Subproblem 1

Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 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 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5

Subproblem 2

Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 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 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333

Solution

x = {-4.5, 3.333333333}

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