2x^2-70=4x

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Solution for 2x^2-70=4x equation:


Simplifying
2x2 + -70 = 4x

Reorder the terms:
-70 + 2x2 = 4x

Solving
-70 + 2x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-70 + -4x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-70 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + -2x + x2) = 0

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

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-5, 7}

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