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Simplifying 4x2 + -25z2 + 7z = -12 Reorder the terms: 4x2 + 7z + -25z2 = -12 Solving 4x2 + 7z + -25z2 = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7z' to each side of the equation. 4x2 + 7z + -7z + -25z2 = -12 + -7z Combine like terms: 7z + -7z = 0 4x2 + 0 + -25z2 = -12 + -7z 4x2 + -25z2 = -12 + -7z Add '25z2' to each side of the equation. 4x2 + -25z2 + 25z2 = -12 + -7z + 25z2 Combine like terms: -25z2 + 25z2 = 0 4x2 + 0 = -12 + -7z + 25z2 4x2 = -12 + -7z + 25z2 Divide each side by '4'. x2 = -3 + -1.75z + 6.25z2 Simplifying x2 = -3 + -1.75z + 6.25z2 Reorder the terms: 3 + x2 + 1.75z + -6.25z2 = -3 + -1.75z + 6.25z2 + 3 + 1.75z + -6.25z2 Reorder the terms: 3 + x2 + 1.75z + -6.25z2 = -3 + 3 + -1.75z + 1.75z + 6.25z2 + -6.25z2 Combine like terms: -3 + 3 = 0 3 + x2 + 1.75z + -6.25z2 = 0 + -1.75z + 1.75z + 6.25z2 + -6.25z2 3 + x2 + 1.75z + -6.25z2 = -1.75z + 1.75z + 6.25z2 + -6.25z2 Combine like terms: -1.75z + 1.75z = 0.00 3 + x2 + 1.75z + -6.25z2 = 0.00 + 6.25z2 + -6.25z2 3 + x2 + 1.75z + -6.25z2 = 6.25z2 + -6.25z2 Combine like terms: 6.25z2 + -6.25z2 = 0.00 3 + x2 + 1.75z + -6.25z2 = 0.00 The solution to this equation could not be determined.
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