90=x^2-7x+60

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Solution for 90=x^2-7x+60 equation:


Simplifying
90 = x2 + -7x + 60

Reorder the terms:
90 = 60 + -7x + x2

Solving
90 = 60 + -7x + x2

Solving for variable 'x'.

Combine like terms: 90 + -60 = 30
30 + 7x + -1x2 = 60 + -7x + x2 + -60 + 7x + -1x2

Reorder the terms:
30 + 7x + -1x2 = 60 + -60 + -7x + 7x + x2 + -1x2

Combine like terms: 60 + -60 = 0
30 + 7x + -1x2 = 0 + -7x + 7x + x2 + -1x2
30 + 7x + -1x2 = -7x + 7x + x2 + -1x2

Combine like terms: -7x + 7x = 0
30 + 7x + -1x2 = 0 + x2 + -1x2
30 + 7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + 7x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(3 + x) = 0

Subproblem 1

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {10, -3}

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