0=4x^2+7x

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Solution for 0=4x^2+7x equation:


Simplifying
0 = 4x2 + 7x

Reorder the terms:
0 = 7x + 4x2

Solving
0 = 7x + 4x2

Solving for variable 'x'.
Remove the zero:
-7x + -4x2 = 7x + 4x2 + -7x + -4x2

Reorder the terms:
-7x + -4x2 = 7x + -7x + 4x2 + -4x2

Combine like terms: 7x + -7x = 0
-7x + -4x2 = 0 + 4x2 + -4x2
-7x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-7x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(7 + 4x) = 0

Ignore the factor -1.

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 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 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 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75

Solution

x = {0, -1.75}

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