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Simplifying 4x2 + 3x2 + -90x = 0 Reorder the terms: -90x + 4x2 + 3x2 = 0 Combine like terms: 4x2 + 3x2 = 7x2 -90x + 7x2 = 0 Solving -90x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-90 + 7x) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-90 + 7x)' equal to zero and attempt to solve: Simplifying -90 + 7x = 0 Solving -90 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 7x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 7x = 0 + 90 7x = 0 + 90 Combine like terms: 0 + 90 = 90 7x = 90 Divide each side by '7'. x = 12.85714286 Simplifying x = 12.85714286Solution
x = {0, 12.85714286}
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