7x^2-21x=70

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Solution for 7x^2-21x=70 equation:


Simplifying
7x2 + -21x = 70

Reorder the terms:
-21x + 7x2 = 70

Solving
-21x + 7x2 = 70

Solving for variable 'x'.

Reorder the terms:
-70 + -21x + 7x2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + -21x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-10 + -3x + x2) = 0

Factor a trinomial.
7((-2 + -1x)(5 + -1x)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-2, 5}

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