-4x^2=-14x

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Solution for -4x^2=-14x equation:


Simplifying
-4x2 = -14x

Solving
-4x2 = -14x

Solving for variable 'x'.

Reorder the terms:
14x + -4x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
14x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(7 + -2x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5

Solution

x = {0, 3.5}

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